Home / 2,428.20-3,642.63-947.13

Finding the Fourth Proportional to 2,428.20, 3,642.63 and 947.13

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Solution

The fourth proportional to 2,428.20, 3,642.63 and 947.13 is: 1,420.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.20 : 3,642.63 = 947.13 : x
  2. Step 2: Convert to fraction form
    2,428.20/3,642.63 = 947.13/x
  3. Step 3: Cross multiply
    2,428.20x = 3,642.63 × 947.13
  4. Step 4: Simplify right side
    2,428.20x = 3,450,044.15
  5. Step 5: Solve for x
    x = 3,450,044.15/2,428.20
  6. Step 6: Final answer
    x = 1,420.82

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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.