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Finding the Fourth Proportional to 12,565.10, 18,851.98 and 7,879.48

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Solution

The fourth proportional to 12,565.10, 18,851.98 and 7,879.48 is: 11,821.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.10 : 18,851.98 = 7,879.48 : x
  2. Step 2: Convert to fraction form
    12,565.10/18,851.98 = 7,879.48/x
  3. Step 3: Cross multiply
    12,565.10x = 18,851.98 × 7,879.48
  4. Step 4: Simplify right side
    12,565.10x = 148,543,799.37
  5. Step 5: Solve for x
    x = 148,543,799.37/12,565.10
  6. Step 6: Final answer
    x = 11,821.94

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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.