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Finding the Fourth Proportional to 8,409.66, 12,614.35 and 2,866.86

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Solution

The fourth proportional to 8,409.66, 12,614.35 and 2,866.86 is: 4,300.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.66 : 12,614.35 = 2,866.86 : x
  2. Step 2: Convert to fraction form
    8,409.66/12,614.35 = 2,866.86/x
  3. Step 3: Cross multiply
    8,409.66x = 12,614.35 × 2,866.86
  4. Step 4: Simplify right side
    8,409.66x = 36,163,575.44
  5. Step 5: Solve for x
    x = 36,163,575.44/8,409.66
  6. Step 6: Final answer
    x = 4,300.24

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1.5x scale

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.