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Finding the Fourth Proportional to 2,788, 4,177.20 and 2,352.16

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Solution

The fourth proportional to 2,788, 4,177.20 and 2,352.16 is: 3,524.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788 : 4,177.20 = 2,352.16 : x
  2. Step 2: Convert to fraction form
    2,788/4,177.20 = 2,352.16/x
  3. Step 3: Cross multiply
    2,788x = 4,177.20 × 2,352.16
  4. Step 4: Simplify right side
    2,788x = 9,825,442.75
  5. Step 5: Solve for x
    x = 9,825,442.75/2,788
  6. Step 6: Final answer
    x = 3,524.19

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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.