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Finding the Fourth Proportional to 19,080, 28,632.15 and 8,691.75

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Solution

The fourth proportional to 19,080, 28,632.15 and 8,691.75 is: 13,043.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,080 : 28,632.15 = 8,691.75 : x
  2. Step 2: Convert to fraction form
    19,080/28,632.15 = 8,691.75/x
  3. Step 3: Cross multiply
    19,080x = 28,632.15 × 8,691.75
  4. Step 4: Simplify right side
    19,080x = 248,863,489.76
  5. Step 5: Solve for x
    x = 248,863,489.76/19,080
  6. Step 6: Final answer
    x = 13,043.16

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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.