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Finding the Fourth Proportional to 9,287.66, 13,931.33 and 3,740.87

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Solution

The fourth proportional to 9,287.66, 13,931.33 and 3,740.87 is: 5,611.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.66 : 13,931.33 = 3,740.87 : x
  2. Step 2: Convert to fraction form
    9,287.66/13,931.33 = 3,740.87/x
  3. Step 3: Cross multiply
    9,287.66x = 13,931.33 × 3,740.87
  4. Step 4: Simplify right side
    9,287.66x = 52,115,206.10
  5. Step 5: Solve for x
    x = 52,115,206.10/9,287.66
  6. Step 6: Final answer
    x = 5,611.23

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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.