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Finding the Fourth Proportional to 3,655.20, 5,482.80 and 1,057.80

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Solution

The fourth proportional to 3,655.20, 5,482.80 and 1,057.80 is: 1,586.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.20 : 5,482.80 = 1,057.80 : x
  2. Step 2: Convert to fraction form
    3,655.20/5,482.80 = 1,057.80/x
  3. Step 3: Cross multiply
    3,655.20x = 5,482.80 × 1,057.80
  4. Step 4: Simplify right side
    3,655.20x = 5,799,705.84
  5. Step 5: Solve for x
    x = 5,799,705.84/3,655.20
  6. Step 6: Final answer
    x = 1,586.70

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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.