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Finding the Fourth Proportional to 21,854.68, 32,789.70 and 7,064.20

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Solution

The fourth proportional to 21,854.68, 32,789.70 and 7,064.20 is: 10,598.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,854.68 : 32,789.70 = 7,064.20 : x
  2. Step 2: Convert to fraction form
    21,854.68/32,789.70 = 7,064.20/x
  3. Step 3: Cross multiply
    21,854.68x = 32,789.70 × 7,064.20
  4. Step 4: Simplify right side
    21,854.68x = 231,632,998.74
  5. Step 5: Solve for x
    x = 231,632,998.74/21,854.68
  6. Step 6: Final answer
    x = 10,598.78

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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.