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Finding the Fourth Proportional to 7,679,841.86, 10,597,978.40 and 4,242,008.90

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Solution

The fourth proportional to 7,679,841.86, 10,597,978.40 and 4,242,008.90 is: 5,853,859.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679,841.86 : 10,597,978.40 = 4,242,008.90 : x
  2. Step 2: Convert to fraction form
    7,679,841.86/10,597,978.40 = 4,242,008.90/x
  3. Step 3: Cross multiply
    7,679,841.86x = 10,597,978.40 × 4,242,008.90
  4. Step 4: Simplify right side
    7,679,841.86x = 44,956,718,694,807.77
  5. Step 5: Solve for x
    x = 44,956,718,694,807.77/7,679,841.86
  6. Step 6: Final answer
    x = 5,853,859.95

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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.