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Finding the Fourth Proportional to 22,762.20, 31,427.82 and 15,704.76

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Solution

The fourth proportional to 22,762.20, 31,427.82 and 15,704.76 is: 21,683.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,762.20 : 31,427.82 = 15,704.76 : x
  2. Step 2: Convert to fraction form
    22,762.20/31,427.82 = 15,704.76/x
  3. Step 3: Cross multiply
    22,762.20x = 31,427.82 × 15,704.76
  4. Step 4: Simplify right side
    22,762.20x = 493,566,370.42
  5. Step 5: Solve for x
    x = 493,566,370.42/22,762.20
  6. Step 6: Final answer
    x = 21,683.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.