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Finding the Fourth Proportional to 31,805.16, 43,892.48 and 17,658

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Solution

The fourth proportional to 31,805.16, 43,892.48 and 17,658 is: 24,368.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,805.16 : 43,892.48 = 17,658 : x
  2. Step 2: Convert to fraction form
    31,805.16/43,892.48 = 17,658/x
  3. Step 3: Cross multiply
    31,805.16x = 43,892.48 × 17,658
  4. Step 4: Simplify right side
    31,805.16x = 775,053,455.99
  5. Step 5: Solve for x
    x = 775,053,455.99/31,805.16
  6. Step 6: Final answer
    x = 24,368.80

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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.