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Finding the Fourth Proportional to 12,528, 18,796.32 and 5,134.86

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Solution

The fourth proportional to 12,528, 18,796.32 and 5,134.86 is: 7,704.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,528 : 18,796.32 = 5,134.86 : x
  2. Step 2: Convert to fraction form
    12,528/18,796.32 = 5,134.86/x
  3. Step 3: Cross multiply
    12,528x = 18,796.32 × 5,134.86
  4. Step 4: Simplify right side
    12,528x = 96,516,471.72
  5. Step 5: Solve for x
    x = 96,516,471.72/12,528
  6. Step 6: Final answer
    x = 7,704.06

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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.