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Finding the Fourth Proportional to 31,876.64, 47,836.02 and 31,630.40

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Solution

The fourth proportional to 31,876.64, 47,836.02 and 31,630.40 is: 47,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,876.64 : 47,836.02 = 31,630.40 : x
  2. Step 2: Convert to fraction form
    31,876.64/47,836.02 = 31,630.40/x
  3. Step 3: Cross multiply
    31,876.64x = 47,836.02 × 31,630.40
  4. Step 4: Simplify right side
    31,876.64x = 1,513,072,207.83
  5. Step 5: Solve for x
    x = 1,513,072,207.83/31,876.64
  6. Step 6: Final answer
    x = 47,466.50

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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.