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Finding the Fourth Proportional to 18,978.91, 28,471.40 and 9,615.14

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Solution

The fourth proportional to 18,978.91, 28,471.40 and 9,615.14 is: 14,424.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,978.91 : 28,471.40 = 9,615.14 : x
  2. Step 2: Convert to fraction form
    18,978.91/28,471.40 = 9,615.14/x
  3. Step 3: Cross multiply
    18,978.91x = 28,471.40 × 9,615.14
  4. Step 4: Simplify right side
    18,978.91x = 273,756,354.64
  5. Step 5: Solve for x
    x = 273,756,354.64/18,978.91
  6. Step 6: Final answer
    x = 14,424.24

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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.