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Finding the Fourth Proportional to 9,287.46, 13,929.03 and 5,540.29

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Solution

The fourth proportional to 9,287.46, 13,929.03 and 5,540.29 is: 8,309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.46 : 13,929.03 = 5,540.29 : x
  2. Step 2: Convert to fraction form
    9,287.46/13,929.03 = 5,540.29/x
  3. Step 3: Cross multiply
    9,287.46x = 13,929.03 × 5,540.29
  4. Step 4: Simplify right side
    9,287.46x = 77,170,830.80
  5. Step 5: Solve for x
    x = 77,170,830.80/9,287.46
  6. Step 6: Final answer
    x = 8,309.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.