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Finding the Fourth Proportional to 15,781.69, 23,704.05 and 9,869.09

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Solution

The fourth proportional to 15,781.69, 23,704.05 and 9,869.09 is: 14,823.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,781.69 : 23,704.05 = 9,869.09 : x
  2. Step 2: Convert to fraction form
    15,781.69/23,704.05 = 9,869.09/x
  3. Step 3: Cross multiply
    15,781.69x = 23,704.05 × 9,869.09
  4. Step 4: Simplify right side
    15,781.69x = 233,937,402.81
  5. Step 5: Solve for x
    x = 233,937,402.81/15,781.69
  6. Step 6: Final answer
    x = 14,823.35

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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.