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Finding the Fourth Proportional to 2,680.40, 4,019.40 and 1,036.40

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Solution

The fourth proportional to 2,680.40, 4,019.40 and 1,036.40 is: 1,554.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.40 : 4,019.40 = 1,036.40 : x
  2. Step 2: Convert to fraction form
    2,680.40/4,019.40 = 1,036.40/x
  3. Step 3: Cross multiply
    2,680.40x = 4,019.40 × 1,036.40
  4. Step 4: Simplify right side
    2,680.40x = 4,165,706.16
  5. Step 5: Solve for x
    x = 4,165,706.16/2,680.40
  6. Step 6: Final answer
    x = 1,554.14

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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.