Home / 2,343.24-3,513.47-782.87

Finding the Fourth Proportional to 2,343.24, 3,513.47 and 782.87

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Solution

The fourth proportional to 2,343.24, 3,513.47 and 782.87 is: 1,173.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.24 : 3,513.47 = 782.87 : x
  2. Step 2: Convert to fraction form
    2,343.24/3,513.47 = 782.87/x
  3. Step 3: Cross multiply
    2,343.24x = 3,513.47 × 782.87
  4. Step 4: Simplify right side
    2,343.24x = 2,750,568.78
  5. Step 5: Solve for x
    x = 2,750,568.78/2,343.24
  6. Step 6: Final answer
    x = 1,173.83

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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.