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Finding the Fourth Proportional to 9,998.90, 13,800.02 and 6,172.77

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Solution

The fourth proportional to 9,998.90, 13,800.02 and 6,172.77 is: 8,519.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998.90 : 13,800.02 = 6,172.77 : x
  2. Step 2: Convert to fraction form
    9,998.90/13,800.02 = 6,172.77/x
  3. Step 3: Cross multiply
    9,998.90x = 13,800.02 × 6,172.77
  4. Step 4: Simplify right side
    9,998.90x = 85,184,249.59
  5. Step 5: Solve for x
    x = 85,184,249.59/9,998.90
  6. Step 6: Final answer
    x = 8,519.36

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.