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Finding the Fourth Proportional to 29,680, 40,947.04 and 19,613.28

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Solution

The fourth proportional to 29,680, 40,947.04 and 19,613.28 is: 27,058.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,680 : 40,947.04 = 19,613.28 : x
  2. Step 2: Convert to fraction form
    29,680/40,947.04 = 19,613.28/x
  3. Step 3: Cross multiply
    29,680x = 40,947.04 × 19,613.28
  4. Step 4: Simplify right side
    29,680x = 803,105,760.69
  5. Step 5: Solve for x
    x = 803,105,760.69/29,680
  6. Step 6: Final answer
    x = 27,058.82

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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.