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Finding the Fourth Proportional to 8,723.64, 13,086.18 and 8,280.84

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Solution

The fourth proportional to 8,723.64, 13,086.18 and 8,280.84 is: 12,421.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,723.64 : 13,086.18 = 8,280.84 : x
  2. Step 2: Convert to fraction form
    8,723.64/13,086.18 = 8,280.84/x
  3. Step 3: Cross multiply
    8,723.64x = 13,086.18 × 8,280.84
  4. Step 4: Simplify right side
    8,723.64x = 108,364,562.79
  5. Step 5: Solve for x
    x = 108,364,562.79/8,723.64
  6. Step 6: Final answer
    x = 12,421.94

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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.