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Finding the Fourth Proportional to 47,865.77, 71,798.68 and 21,539.76

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Solution

The fourth proportional to 47,865.77, 71,798.68 and 21,539.76 is: 32,309.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,865.77 : 71,798.68 = 21,539.76 : x
  2. Step 2: Convert to fraction form
    47,865.77/71,798.68 = 21,539.76/x
  3. Step 3: Cross multiply
    47,865.77x = 71,798.68 × 21,539.76
  4. Step 4: Simplify right side
    47,865.77x = 1,546,526,335.52
  5. Step 5: Solve for x
    x = 1,546,526,335.52/47,865.77
  6. Step 6: Final answer
    x = 32,309.65

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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.