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Finding the Fourth Proportional to 2,478.62, 3,721.62 and 1,020.62

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Solution

The fourth proportional to 2,478.62, 3,721.62 and 1,020.62 is: 1,532.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.62 : 3,721.62 = 1,020.62 : x
  2. Step 2: Convert to fraction form
    2,478.62/3,721.62 = 1,020.62/x
  3. Step 3: Cross multiply
    2,478.62x = 3,721.62 × 1,020.62
  4. Step 4: Simplify right side
    2,478.62x = 3,798,359.80
  5. Step 5: Solve for x
    x = 3,798,359.80/2,478.62
  6. Step 6: Final answer
    x = 1,532.45

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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.