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Finding the Fourth Proportional to 2,098.49, 3,147.35 and 617.40

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Solution

The fourth proportional to 2,098.49, 3,147.35 and 617.40 is: 925.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.49 : 3,147.35 = 617.40 : x
  2. Step 2: Convert to fraction form
    2,098.49/3,147.35 = 617.40/x
  3. Step 3: Cross multiply
    2,098.49x = 3,147.35 × 617.40
  4. Step 4: Simplify right side
    2,098.49x = 1,943,170.80
  5. Step 5: Solve for x
    x = 1,943,170.80/2,098.49
  6. Step 6: Final answer
    x = 925.99

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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.