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Finding the Fourth Proportional to 31,412.90, 47,074.62 and 15,602.43

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Solution

The fourth proportional to 31,412.90, 47,074.62 and 15,602.43 is: 23,381.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,412.90 : 47,074.62 = 15,602.43 : x
  2. Step 2: Convert to fraction form
    31,412.90/47,074.62 = 15,602.43/x
  3. Step 3: Cross multiply
    31,412.90x = 47,074.62 × 15,602.43
  4. Step 4: Simplify right side
    31,412.90x = 734,478,463.33
  5. Step 5: Solve for x
    x = 734,478,463.33/31,412.90
  6. Step 6: Final answer
    x = 23,381.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.