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Finding the Fourth Proportional to 6,627.76, 9,142.49 and 4,139.44

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Solution

The fourth proportional to 6,627.76, 9,142.49 and 4,139.44 is: 5,710.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,627.76 : 9,142.49 = 4,139.44 : x
  2. Step 2: Convert to fraction form
    6,627.76/9,142.49 = 4,139.44/x
  3. Step 3: Cross multiply
    6,627.76x = 9,142.49 × 4,139.44
  4. Step 4: Simplify right side
    6,627.76x = 37,844,776.30
  5. Step 5: Solve for x
    x = 37,844,776.30/6,627.76
  6. Step 6: Final answer
    x = 5,710.04

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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.