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Finding the Fourth Proportional to 19,617.80, 29,430.80 and 6,468.52

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Solution

The fourth proportional to 19,617.80, 29,430.80 and 6,468.52 is: 9,704.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,617.80 : 29,430.80 = 6,468.52 : x
  2. Step 2: Convert to fraction form
    19,617.80/29,430.80 = 6,468.52/x
  3. Step 3: Cross multiply
    19,617.80x = 29,430.80 × 6,468.52
  4. Step 4: Simplify right side
    19,617.80x = 190,373,718.42
  5. Step 5: Solve for x
    x = 190,373,718.42/19,617.80
  6. Step 6: Final answer
    x = 9,704.13

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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.