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Finding the Fourth Proportional to 8,409.63, 12,615.80 and 2,565.75

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Solution

The fourth proportional to 8,409.63, 12,615.80 and 2,565.75 is: 3,849.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.63 : 12,615.80 = 2,565.75 : x
  2. Step 2: Convert to fraction form
    8,409.63/12,615.80 = 2,565.75/x
  3. Step 3: Cross multiply
    8,409.63x = 12,615.80 × 2,565.75
  4. Step 4: Simplify right side
    8,409.63x = 32,368,976.02
  5. Step 5: Solve for x
    x = 32,368,976.02/8,409.63
  6. Step 6: Final answer
    x = 3,849.04

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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.