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Finding the Fourth Proportional to 25,386, 38,070.63 and 8,745.66

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Solution

The fourth proportional to 25,386, 38,070.63 and 8,745.66 is: 13,115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,386 : 38,070.63 = 8,745.66 : x
  2. Step 2: Convert to fraction form
    25,386/38,070.63 = 8,745.66/x
  3. Step 3: Cross multiply
    25,386x = 38,070.63 × 8,745.66
  4. Step 4: Simplify right side
    25,386x = 332,952,785.97
  5. Step 5: Solve for x
    x = 332,952,785.97/25,386
  6. Step 6: Final answer
    x = 13,115.61

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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.