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Finding the Fourth Proportional to 19,645.80, 29,468.80 and 4,855.02

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Solution

The fourth proportional to 19,645.80, 29,468.80 and 4,855.02 is: 7,282.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,645.80 : 29,468.80 = 4,855.02 : x
  2. Step 2: Convert to fraction form
    19,645.80/29,468.80 = 4,855.02/x
  3. Step 3: Cross multiply
    19,645.80x = 29,468.80 × 4,855.02
  4. Step 4: Simplify right side
    19,645.80x = 143,071,613.38
  5. Step 5: Solve for x
    x = 143,071,613.38/19,645.80
  6. Step 6: Final answer
    x = 7,282.55

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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.