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Finding the Fourth Proportional to 5,565, 7,680.18 and 3,081.48

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Solution

The fourth proportional to 5,565, 7,680.18 and 3,081.48 is: 4,252.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565 : 7,680.18 = 3,081.48 : x
  2. Step 2: Convert to fraction form
    5,565/7,680.18 = 3,081.48/x
  3. Step 3: Cross multiply
    5,565x = 7,680.18 × 3,081.48
  4. Step 4: Simplify right side
    5,565x = 23,666,321.07
  5. Step 5: Solve for x
    x = 23,666,321.07/5,565
  6. Step 6: Final answer
    x = 4,252.71

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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.