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Finding the Fourth Proportional to 12,378, 18,565.20 and 4,585.44

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Solution

The fourth proportional to 12,378, 18,565.20 and 4,585.44 is: 6,877.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378 : 18,565.20 = 4,585.44 : x
  2. Step 2: Convert to fraction form
    12,378/18,565.20 = 4,585.44/x
  3. Step 3: Cross multiply
    12,378x = 18,565.20 × 4,585.44
  4. Step 4: Simplify right side
    12,378x = 85,129,610.69
  5. Step 5: Solve for x
    x = 85,129,610.69/12,378
  6. Step 6: Final answer
    x = 6,877.49

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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.