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Finding the Fourth Proportional to 47,886.72, 71,810.40 and 21,584.40

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Solution

The fourth proportional to 47,886.72, 71,810.40 and 21,584.40 is: 32,367.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,886.72 : 71,810.40 = 21,584.40 : x
  2. Step 2: Convert to fraction form
    47,886.72/71,810.40 = 21,584.40/x
  3. Step 3: Cross multiply
    47,886.72x = 71,810.40 × 21,584.40
  4. Step 4: Simplify right side
    47,886.72x = 1,549,984,397.76
  5. Step 5: Solve for x
    x = 1,549,984,397.76/47,886.72
  6. Step 6: Final answer
    x = 32,367.73

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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.