Home / 2,428.23-3,642.32-784.74

Finding the Fourth Proportional to 2,428.23, 3,642.32 and 784.74

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Solution

The fourth proportional to 2,428.23, 3,642.32 and 784.74 is: 1,177.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.23 : 3,642.32 = 784.74 : x
  2. Step 2: Convert to fraction form
    2,428.23/3,642.32 = 784.74/x
  3. Step 3: Cross multiply
    2,428.23x = 3,642.32 × 784.74
  4. Step 4: Simplify right side
    2,428.23x = 2,858,276.16
  5. Step 5: Solve for x
    x = 2,858,276.16/2,428.23
  6. Step 6: Final answer
    x = 1,177.10

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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.