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Finding the Fourth Proportional to 31,385.76, 47,032 and 15,784

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Solution

The fourth proportional to 31,385.76, 47,032 and 15,784 is: 23,652.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,385.76 : 47,032 = 15,784 : x
  2. Step 2: Convert to fraction form
    31,385.76/47,032 = 15,784/x
  3. Step 3: Cross multiply
    31,385.76x = 47,032 × 15,784
  4. Step 4: Simplify right side
    31,385.76x = 742,353,088
  5. Step 5: Solve for x
    x = 742,353,088/31,385.76
  6. Step 6: Final answer
    x = 23,652.54

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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.