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Finding the Fourth Proportional to 47,881.98, 71,789.65 and 21,213.50

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Solution

The fourth proportional to 47,881.98, 71,789.65 and 21,213.50 is: 31,805.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,881.98 : 71,789.65 = 21,213.50 : x
  2. Step 2: Convert to fraction form
    47,881.98/71,789.65 = 21,213.50/x
  3. Step 3: Cross multiply
    47,881.98x = 71,789.65 × 21,213.50
  4. Step 4: Simplify right side
    47,881.98x = 1,522,909,328.29
  5. Step 5: Solve for x
    x = 1,522,909,328.29/47,881.98
  6. Step 6: Final answer
    x = 31,805.48

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1.5x scale

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.