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Finding the Fourth Proportional to 9,998.85, 13,800.34 and 5,752.77

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Solution

The fourth proportional to 9,998.85, 13,800.34 and 5,752.77 is: 7,939.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998.85 : 13,800.34 = 5,752.77 : x
  2. Step 2: Convert to fraction form
    9,998.85/13,800.34 = 5,752.77/x
  3. Step 3: Cross multiply
    9,998.85x = 13,800.34 × 5,752.77
  4. Step 4: Simplify right side
    9,998.85x = 79,390,181.94
  5. Step 5: Solve for x
    x = 79,390,181.94/9,998.85
  6. Step 6: Final answer
    x = 7,939.93

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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.