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Finding the Fourth Proportional to 2,342.19, 3,510.62 and 781.83

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Solution

The fourth proportional to 2,342.19, 3,510.62 and 781.83 is: 1,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.19 : 3,510.62 = 781.83 : x
  2. Step 2: Convert to fraction form
    2,342.19/3,510.62 = 781.83/x
  3. Step 3: Cross multiply
    2,342.19x = 3,510.62 × 781.83
  4. Step 4: Simplify right side
    2,342.19x = 2,744,704.13
  5. Step 5: Solve for x
    x = 2,744,704.13/2,342.19
  6. Step 6: Final answer
    x = 1,171.85

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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.