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Finding the Fourth Proportional to 5,486.92, 7,565.30 and 3,809.72

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Solution

The fourth proportional to 5,486.92, 7,565.30 and 3,809.72 is: 5,252.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.92 : 7,565.30 = 3,809.72 : x
  2. Step 2: Convert to fraction form
    5,486.92/7,565.30 = 3,809.72/x
  3. Step 3: Cross multiply
    5,486.92x = 7,565.30 × 3,809.72
  4. Step 4: Simplify right side
    5,486.92x = 28,821,674.72
  5. Step 5: Solve for x
    x = 28,821,674.72/5,486.92
  6. Step 6: Final answer
    x = 5,252.80

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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.