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Finding the Fourth Proportional to 7,710.90, 10,648.17 and 6,150.30

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Solution

The fourth proportional to 7,710.90, 10,648.17 and 6,150.30 is: 8,493.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.90 : 10,648.17 = 6,150.30 : x
  2. Step 2: Convert to fraction form
    7,710.90/10,648.17 = 6,150.30/x
  3. Step 3: Cross multiply
    7,710.90x = 10,648.17 × 6,150.30
  4. Step 4: Simplify right side
    7,710.90x = 65,489,439.95
  5. Step 5: Solve for x
    x = 65,489,439.95/7,710.90
  6. Step 6: Final answer
    x = 8,493.10

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1.5x scale

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.