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Finding the Fourth Proportional to 2,428.40, 3,640.80 and 1,040.60

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Solution

The fourth proportional to 2,428.40, 3,640.80 and 1,040.60 is: 1,560.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.40 : 3,640.80 = 1,040.60 : x
  2. Step 2: Convert to fraction form
    2,428.40/3,640.80 = 1,040.60/x
  3. Step 3: Cross multiply
    2,428.40x = 3,640.80 × 1,040.60
  4. Step 4: Simplify right side
    2,428.40x = 3,788,616.48
  5. Step 5: Solve for x
    x = 3,788,616.48/2,428.40
  6. Step 6: Final answer
    x = 1,560.13

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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.