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Finding the Fourth Proportional to 3,598.34, 5,394.06 and 1,520.16

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Solution

The fourth proportional to 3,598.34, 5,394.06 and 1,520.16 is: 2,278.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.34 : 5,394.06 = 1,520.16 : x
  2. Step 2: Convert to fraction form
    3,598.34/5,394.06 = 1,520.16/x
  3. Step 3: Cross multiply
    3,598.34x = 5,394.06 × 1,520.16
  4. Step 4: Simplify right side
    3,598.34x = 8,199,834.25
  5. Step 5: Solve for x
    x = 8,199,834.25/3,598.34
  6. Step 6: Final answer
    x = 2,278.78

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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.