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Finding the Fourth Proportional to 31,988.64, 47,984.08 and 8,615.64

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Solution

The fourth proportional to 31,988.64, 47,984.08 and 8,615.64 is: 12,923.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,988.64 : 47,984.08 = 8,615.64 : x
  2. Step 2: Convert to fraction form
    31,988.64/47,984.08 = 8,615.64/x
  3. Step 3: Cross multiply
    31,988.64x = 47,984.08 × 8,615.64
  4. Step 4: Simplify right side
    31,988.64x = 413,413,559.01
  5. Step 5: Solve for x
    x = 413,413,559.01/31,988.64
  6. Step 6: Final answer
    x = 12,923.76

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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.