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Finding the Fourth Proportional to 3,768, 5,200.72 and 2,442.08

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Solution

The fourth proportional to 3,768, 5,200.72 and 2,442.08 is: 3,370.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768 : 5,200.72 = 2,442.08 : x
  2. Step 2: Convert to fraction form
    3,768/5,200.72 = 2,442.08/x
  3. Step 3: Cross multiply
    3,768x = 5,200.72 × 2,442.08
  4. Step 4: Simplify right side
    3,768x = 12,700,574.30
  5. Step 5: Solve for x
    x = 12,700,574.30/3,768
  6. Step 6: Final answer
    x = 3,370.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.