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Finding the Fourth Proportional to 3,995.28, 5,995.68 and 1,657.40

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Solution

The fourth proportional to 3,995.28, 5,995.68 and 1,657.40 is: 2,487.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,995.28 : 5,995.68 = 1,657.40 : x
  2. Step 2: Convert to fraction form
    3,995.28/5,995.68 = 1,657.40/x
  3. Step 3: Cross multiply
    3,995.28x = 5,995.68 × 1,657.40
  4. Step 4: Simplify right side
    3,995.28x = 9,937,240.03
  5. Step 5: Solve for x
    x = 9,937,240.03/3,995.28
  6. Step 6: Final answer
    x = 2,487.24

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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.