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Finding the Fourth Proportional to 15,786, 23,679.18 and 4,098.52

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Solution

The fourth proportional to 15,786, 23,679.18 and 4,098.52 is: 6,147.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,786 : 23,679.18 = 4,098.52 : x
  2. Step 2: Convert to fraction form
    15,786/23,679.18 = 4,098.52/x
  3. Step 3: Cross multiply
    15,786x = 23,679.18 × 4,098.52
  4. Step 4: Simplify right side
    15,786x = 97,049,592.81
  5. Step 5: Solve for x
    x = 97,049,592.81/15,786
  6. Step 6: Final answer
    x = 6,147.83

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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.