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Finding the Fourth Proportional to 3,598.80, 5,397.84 and 1,002.12

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Solution

The fourth proportional to 3,598.80, 5,397.84 and 1,002.12 is: 1,503.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.80 : 5,397.84 = 1,002.12 : x
  2. Step 2: Convert to fraction form
    3,598.80/5,397.84 = 1,002.12/x
  3. Step 3: Cross multiply
    3,598.80x = 5,397.84 × 1,002.12
  4. Step 4: Simplify right side
    3,598.80x = 5,409,283.42
  5. Step 5: Solve for x
    x = 5,409,283.42/3,598.80
  6. Step 6: Final answer
    x = 1,503.08

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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.