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Finding the Fourth Proportional to 5,687.62, 7,847.28 and 3,701.10

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Solution

The fourth proportional to 5,687.62, 7,847.28 and 3,701.10 is: 5,106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.62 : 7,847.28 = 3,701.10 : x
  2. Step 2: Convert to fraction form
    5,687.62/7,847.28 = 3,701.10/x
  3. Step 3: Cross multiply
    5,687.62x = 7,847.28 × 3,701.10
  4. Step 4: Simplify right side
    5,687.62x = 29,043,568.01
  5. Step 5: Solve for x
    x = 29,043,568.01/5,687.62
  6. Step 6: Final answer
    x = 5,106.45

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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.