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Finding the Fourth Proportional to 31,605, 47,392.38 and 9,410.55

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Solution

The fourth proportional to 31,605, 47,392.38 and 9,410.55 is: 14,111.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,605 : 47,392.38 = 9,410.55 : x
  2. Step 2: Convert to fraction form
    31,605/47,392.38 = 9,410.55/x
  3. Step 3: Cross multiply
    31,605x = 47,392.38 × 9,410.55
  4. Step 4: Simplify right side
    31,605x = 445,988,361.61
  5. Step 5: Solve for x
    x = 445,988,361.61/31,605
  6. Step 6: Final answer
    x = 14,111.32

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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.