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Finding the Fourth Proportional to 29,160, 40,242.96 and 16,588.80

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Solution

The fourth proportional to 29,160, 40,242.96 and 16,588.80 is: 22,893.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,160 : 40,242.96 = 16,588.80 : x
  2. Step 2: Convert to fraction form
    29,160/40,242.96 = 16,588.80/x
  3. Step 3: Cross multiply
    29,160x = 40,242.96 × 16,588.80
  4. Step 4: Simplify right side
    29,160x = 667,582,414.85
  5. Step 5: Solve for x
    x = 667,582,414.85/29,160
  6. Step 6: Final answer
    x = 22,893.77

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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.