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Finding the Fourth Proportional to 6,642,002.90, 9,965,337.15 and 2,856,646.10

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Solution

The fourth proportional to 6,642,002.90, 9,965,337.15 and 2,856,646.10 is: 4,285,972.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642,002.90 : 9,965,337.15 = 2,856,646.10 : x
  2. Step 2: Convert to fraction form
    6,642,002.90/9,965,337.15 = 2,856,646.10/x
  3. Step 3: Cross multiply
    6,642,002.90x = 9,965,337.15 × 2,856,646.10
  4. Step 4: Simplify right side
    6,642,002.90x = 28,467,441,504,732.62
  5. Step 5: Solve for x
    x = 28,467,441,504,732.62/6,642,002.90
  6. Step 6: Final answer
    x = 4,285,972.46

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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.