Home / 2,427.68-3,642.23-784.19

Finding the Fourth Proportional to 2,427.68, 3,642.23 and 784.19

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Solution

The fourth proportional to 2,427.68, 3,642.23 and 784.19 is: 1,176.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.68 : 3,642.23 = 784.19 : x
  2. Step 2: Convert to fraction form
    2,427.68/3,642.23 = 784.19/x
  3. Step 3: Cross multiply
    2,427.68x = 3,642.23 × 784.19
  4. Step 4: Simplify right side
    2,427.68x = 2,856,211.41
  5. Step 5: Solve for x
    x = 2,856,211.41/2,427.68
  6. Step 6: Final answer
    x = 1,176.52

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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.