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Finding the Fourth Proportional to 29,578, 40,817.64 and 16,330

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Solution

The fourth proportional to 29,578, 40,817.64 and 16,330 is: 22,535.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,578 : 40,817.64 = 16,330 : x
  2. Step 2: Convert to fraction form
    29,578/40,817.64 = 16,330/x
  3. Step 3: Cross multiply
    29,578x = 40,817.64 × 16,330
  4. Step 4: Simplify right side
    29,578x = 666,552,061.20
  5. Step 5: Solve for x
    x = 666,552,061.20/29,578
  6. Step 6: Final answer
    x = 22,535.40

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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.