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Finding the Fourth Proportional to 2,696.64, 4,040.64 and 1,543.20

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Solution

The fourth proportional to 2,696.64, 4,040.64 and 1,543.20 is: 2,312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.64 : 4,040.64 = 1,543.20 : x
  2. Step 2: Convert to fraction form
    2,696.64/4,040.64 = 1,543.20/x
  3. Step 3: Cross multiply
    2,696.64x = 4,040.64 × 1,543.20
  4. Step 4: Simplify right side
    2,696.64x = 6,235,515.65
  5. Step 5: Solve for x
    x = 6,235,515.65/2,696.64
  6. Step 6: Final answer
    x = 2,312.33

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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.