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Finding the Fourth Proportional to 15,720.56, 23,583.73 and 5,191.29

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Solution

The fourth proportional to 15,720.56, 23,583.73 and 5,191.29 is: 7,787.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,720.56 : 23,583.73 = 5,191.29 : x
  2. Step 2: Convert to fraction form
    15,720.56/23,583.73 = 5,191.29/x
  3. Step 3: Cross multiply
    15,720.56x = 23,583.73 × 5,191.29
  4. Step 4: Simplify right side
    15,720.56x = 122,429,981.71
  5. Step 5: Solve for x
    x = 122,429,981.71/15,720.56
  6. Step 6: Final answer
    x = 7,787.89

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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.