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Finding the Fourth Proportional to 19,760.80, 29,643 and 5,720.64

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Solution

The fourth proportional to 19,760.80, 29,643 and 5,720.64 is: 8,581.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,760.80 : 29,643 = 5,720.64 : x
  2. Step 2: Convert to fraction form
    19,760.80/29,643 = 5,720.64/x
  3. Step 3: Cross multiply
    19,760.80x = 29,643 × 5,720.64
  4. Step 4: Simplify right side
    19,760.80x = 169,576,931.52
  5. Step 5: Solve for x
    x = 169,576,931.52/19,760.80
  6. Step 6: Final answer
    x = 8,581.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.