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Finding the Fourth Proportional to 2,366.40, 3,542.40 and 2,107.20

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Solution

The fourth proportional to 2,366.40, 3,542.40 and 2,107.20 is: 3,154.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.40 : 3,542.40 = 2,107.20 : x
  2. Step 2: Convert to fraction form
    2,366.40/3,542.40 = 2,107.20/x
  3. Step 3: Cross multiply
    2,366.40x = 3,542.40 × 2,107.20
  4. Step 4: Simplify right side
    2,366.40x = 7,464,545.28
  5. Step 5: Solve for x
    x = 7,464,545.28/2,366.40
  6. Step 6: Final answer
    x = 3,154.39

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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.