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Finding the Fourth Proportional to 31,634, 43,654.60 and 17,486.16

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Solution

The fourth proportional to 31,634, 43,654.60 and 17,486.16 is: 24,130.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,634 : 43,654.60 = 17,486.16 : x
  2. Step 2: Convert to fraction form
    31,634/43,654.60 = 17,486.16/x
  3. Step 3: Cross multiply
    31,634x = 43,654.60 × 17,486.16
  4. Step 4: Simplify right side
    31,634x = 763,351,320.34
  5. Step 5: Solve for x
    x = 763,351,320.34/31,634
  6. Step 6: Final answer
    x = 24,130.72

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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.