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Finding the Fourth Proportional to 6,618.74, 9,142.00 and 4,947.60

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Solution

The fourth proportional to 6,618.74, 9,142.00 and 4,947.60 is: 6,833.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,618.74 : 9,142.00 = 4,947.60 : x
  2. Step 2: Convert to fraction form
    6,618.74/9,142.00 = 4,947.60/x
  3. Step 3: Cross multiply
    6,618.74x = 9,142.00 × 4,947.60
  4. Step 4: Simplify right side
    6,618.74x = 45,230,981.11
  5. Step 5: Solve for x
    x = 45,230,981.11/6,618.74
  6. Step 6: Final answer
    x = 6,833.78

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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.