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Finding the Fourth Proportional to 9,999.86, 13,800.38 and 6,022.25

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Solution

The fourth proportional to 9,999.86, 13,800.38 and 6,022.25 is: 8,311.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,999.86 : 13,800.38 = 6,022.25 : x
  2. Step 2: Convert to fraction form
    9,999.86/13,800.38 = 6,022.25/x
  3. Step 3: Cross multiply
    9,999.86x = 13,800.38 × 6,022.25
  4. Step 4: Simplify right side
    9,999.86x = 83,109,308.34
  5. Step 5: Solve for x
    x = 83,109,308.34/9,999.86
  6. Step 6: Final answer
    x = 8,311.05

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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.