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Finding the Fourth Proportional to 7,978,177.40, 11,949,551.40 and 6,561,001.40

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Solution

The fourth proportional to 7,978,177.40, 11,949,551.40 and 6,561,001.40 is: 9,826,934.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978,177.40 : 11,949,551.40 = 6,561,001.40 : x
  2. Step 2: Convert to fraction form
    7,978,177.40/11,949,551.40 = 6,561,001.40/x
  3. Step 3: Cross multiply
    7,978,177.40x = 11,949,551.40 × 6,561,001.40
  4. Step 4: Simplify right side
    7,978,177.40x = 78,401,023,464,771.97
  5. Step 5: Solve for x
    x = 78,401,023,464,771.97/7,978,177.40
  6. Step 6: Final answer
    x = 9,826,934.09

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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.