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Finding the Fourth Proportional to 15,711, 23,572.56 and 5,322.72

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Solution

The fourth proportional to 15,711, 23,572.56 and 5,322.72 is: 7,986.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,711 : 23,572.56 = 5,322.72 : x
  2. Step 2: Convert to fraction form
    15,711/23,572.56 = 5,322.72/x
  3. Step 3: Cross multiply
    15,711x = 23,572.56 × 5,322.72
  4. Step 4: Simplify right side
    15,711x = 125,470,136.56
  5. Step 5: Solve for x
    x = 125,470,136.56/15,711
  6. Step 6: Final answer
    x = 7,986.13

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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.