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Finding the Fourth Proportional to 29,146.60, 40,221.14 and 17,213.78

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Solution

The fourth proportional to 29,146.60, 40,221.14 and 17,213.78 is: 23,754.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,146.60 : 40,221.14 = 17,213.78 : x
  2. Step 2: Convert to fraction form
    29,146.60/40,221.14 = 17,213.78/x
  3. Step 3: Cross multiply
    29,146.60x = 40,221.14 × 17,213.78
  4. Step 4: Simplify right side
    29,146.60x = 692,357,855.31
  5. Step 5: Solve for x
    x = 692,357,855.31/29,146.60
  6. Step 6: Final answer
    x = 23,754.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.