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Finding the Fourth Proportional to 9,884.74, 13,645.92 and 7,641.55

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Solution

The fourth proportional to 9,884.74, 13,645.92 and 7,641.55 is: 10,549.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.74 : 13,645.92 = 7,641.55 : x
  2. Step 2: Convert to fraction form
    9,884.74/13,645.92 = 7,641.55/x
  3. Step 3: Cross multiply
    9,884.74x = 13,645.92 × 7,641.55
  4. Step 4: Simplify right side
    9,884.74x = 104,275,979.98
  5. Step 5: Solve for x
    x = 104,275,979.98/9,884.74
  6. Step 6: Final answer
    x = 10,549.19

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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.