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Finding the Fourth Proportional to 31,551.47, 47,327.61 and 10,491.51

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Solution

The fourth proportional to 31,551.47, 47,327.61 and 10,491.51 is: 15,737.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,551.47 : 47,327.61 = 10,491.51 : x
  2. Step 2: Convert to fraction form
    31,551.47/47,327.61 = 10,491.51/x
  3. Step 3: Cross multiply
    31,551.47x = 47,327.61 × 10,491.51
  4. Step 4: Simplify right side
    31,551.47x = 496,538,093.59
  5. Step 5: Solve for x
    x = 496,538,093.59/31,551.47
  6. Step 6: Final answer
    x = 15,737.40

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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.