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Finding the Fourth Proportional to 8,409.63, 12,613.99 and 2,565.79

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Solution

The fourth proportional to 8,409.63, 12,613.99 and 2,565.79 is: 3,848.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.63 : 12,613.99 = 2,565.79 : x
  2. Step 2: Convert to fraction form
    8,409.63/12,613.99 = 2,565.79/x
  3. Step 3: Cross multiply
    8,409.63x = 12,613.99 × 2,565.79
  4. Step 4: Simplify right side
    8,409.63x = 32,364,849.40
  5. Step 5: Solve for x
    x = 32,364,849.40/8,409.63
  6. Step 6: Final answer
    x = 3,848.55

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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.