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Finding the Fourth Proportional to 4,724.73, 7,086.13 and 4,490.55

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Solution

The fourth proportional to 4,724.73, 7,086.13 and 4,490.55 is: 6,734.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,724.73 : 7,086.13 = 4,490.55 : x
  2. Step 2: Convert to fraction form
    4,724.73/7,086.13 = 4,490.55/x
  3. Step 3: Cross multiply
    4,724.73x = 7,086.13 × 4,490.55
  4. Step 4: Simplify right side
    4,724.73x = 31,820,621.07
  5. Step 5: Solve for x
    x = 31,820,621.07/4,724.73
  6. Step 6: Final answer
    x = 6,734.91

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1.5x scale

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.