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Finding the Fourth Proportional to 3,632.64, 5,448.36 and 1,000.20

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Solution

The fourth proportional to 3,632.64, 5,448.36 and 1,000.20 is: 1,500.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.64 : 5,448.36 = 1,000.20 : x
  2. Step 2: Convert to fraction form
    3,632.64/5,448.36 = 1,000.20/x
  3. Step 3: Cross multiply
    3,632.64x = 5,448.36 × 1,000.20
  4. Step 4: Simplify right side
    3,632.64x = 5,449,449.67
  5. Step 5: Solve for x
    x = 5,449,449.67/3,632.64
  6. Step 6: Final answer
    x = 1,500.13

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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.