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Finding the Fourth Proportional to 11,482,978.68, 15,835,866.12 and 8,380,587.96

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Solution

The fourth proportional to 11,482,978.68, 15,835,866.12 and 8,380,587.96 is: 11,557,442.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482,978.68 : 15,835,866.12 = 8,380,587.96 : x
  2. Step 2: Convert to fraction form
    11,482,978.68/15,835,866.12 = 8,380,587.96/x
  3. Step 3: Cross multiply
    11,482,978.68x = 15,835,866.12 × 8,380,587.96
  4. Step 4: Simplify right side
    11,482,978.68x = 132,713,868,941,443.91
  5. Step 5: Solve for x
    x = 132,713,868,941,443.91/11,482,978.68
  6. Step 6: Final answer
    x = 11,557,442.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.