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Finding the Fourth Proportional to 2,355.10, 3,532.20 and 711.70

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Solution

The fourth proportional to 2,355.10, 3,532.20 and 711.70 is: 1,067.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.10 : 3,532.20 = 711.70 : x
  2. Step 2: Convert to fraction form
    2,355.10/3,532.20 = 711.70/x
  3. Step 3: Cross multiply
    2,355.10x = 3,532.20 × 711.70
  4. Step 4: Simplify right side
    2,355.10x = 2,513,866.74
  5. Step 5: Solve for x
    x = 2,513,866.74/2,355.10
  6. Step 6: Final answer
    x = 1,067.41

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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.