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Finding the Fourth Proportional to 15,899.64, 21,940.05 and 9,438.18

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Solution

The fourth proportional to 15,899.64, 21,940.05 and 9,438.18 is: 13,023.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,899.64 : 21,940.05 = 9,438.18 : x
  2. Step 2: Convert to fraction form
    15,899.64/21,940.05 = 9,438.18/x
  3. Step 3: Cross multiply
    15,899.64x = 21,940.05 × 9,438.18
  4. Step 4: Simplify right side
    15,899.64x = 207,074,141.11
  5. Step 5: Solve for x
    x = 207,074,141.11/15,899.64
  6. Step 6: Final answer
    x = 13,023.83

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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.