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Finding the Fourth Proportional to 15,781.32, 23,674.32 and 7,469.40

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Solution

The fourth proportional to 15,781.32, 23,674.32 and 7,469.40 is: 11,205.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,781.32 : 23,674.32 = 7,469.40 : x
  2. Step 2: Convert to fraction form
    15,781.32/23,674.32 = 7,469.40/x
  3. Step 3: Cross multiply
    15,781.32x = 23,674.32 × 7,469.40
  4. Step 4: Simplify right side
    15,781.32x = 176,832,965.81
  5. Step 5: Solve for x
    x = 176,832,965.81/15,781.32
  6. Step 6: Final answer
    x = 11,205.21

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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.