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Finding the Fourth Proportional to 5,565, 8,345.79 and 3,665.24

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Solution

The fourth proportional to 5,565, 8,345.79 and 3,665.24 is: 5,496.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565 : 8,345.79 = 3,665.24 : x
  2. Step 2: Convert to fraction form
    5,565/8,345.79 = 3,665.24/x
  3. Step 3: Cross multiply
    5,565x = 8,345.79 × 3,665.24
  4. Step 4: Simplify right side
    5,565x = 30,589,281.61
  5. Step 5: Solve for x
    x = 30,589,281.61/5,565
  6. Step 6: Final answer
    x = 5,496.73

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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.