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Finding the Fourth Proportional to 2,592.54, 3,888 and 1,131.30

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Solution

The fourth proportional to 2,592.54, 3,888 and 1,131.30 is: 1,696.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.54 : 3,888 = 1,131.30 : x
  2. Step 2: Convert to fraction form
    2,592.54/3,888 = 1,131.30/x
  3. Step 3: Cross multiply
    2,592.54x = 3,888 × 1,131.30
  4. Step 4: Simplify right side
    2,592.54x = 4,398,494.40
  5. Step 5: Solve for x
    x = 4,398,494.40/2,592.54
  6. Step 6: Final answer
    x = 1,696.60

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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.