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Finding the Fourth Proportional to 2,355.12, 3,532.56 and 711.66

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Solution

The fourth proportional to 2,355.12, 3,532.56 and 711.66 is: 1,067.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.12 : 3,532.56 = 711.66 : x
  2. Step 2: Convert to fraction form
    2,355.12/3,532.56 = 711.66/x
  3. Step 3: Cross multiply
    2,355.12x = 3,532.56 × 711.66
  4. Step 4: Simplify right side
    2,355.12x = 2,513,981.65
  5. Step 5: Solve for x
    x = 2,513,981.65/2,355.12
  6. Step 6: Final answer
    x = 1,067.45

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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.