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Finding the Fourth Proportional to 7,889,843.80, 11,834,765.70 and 7,411,546.90

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Solution

The fourth proportional to 7,889,843.80, 11,834,765.70 and 7,411,546.90 is: 11,117,320.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889,843.80 : 11,834,765.70 = 7,411,546.90 : x
  2. Step 2: Convert to fraction form
    7,889,843.80/11,834,765.70 = 7,411,546.90/x
  3. Step 3: Cross multiply
    7,889,843.80x = 11,834,765.70 × 7,411,546.90
  4. Step 4: Simplify right side
    7,889,843.80x = 87,713,921,036,061.33
  5. Step 5: Solve for x
    x = 87,713,921,036,061.33/7,889,843.80
  6. Step 6: Final answer
    x = 11,117,320.35

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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.