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Finding the Fourth Proportional to 8,402.74, 12,608.19 and 5,284.21

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Solution

The fourth proportional to 8,402.74, 12,608.19 and 5,284.21 is: 7,928.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.74 : 12,608.19 = 5,284.21 : x
  2. Step 2: Convert to fraction form
    8,402.74/12,608.19 = 5,284.21/x
  3. Step 3: Cross multiply
    8,402.74x = 12,608.19 × 5,284.21
  4. Step 4: Simplify right side
    8,402.74x = 66,624,335.38
  5. Step 5: Solve for x
    x = 66,624,335.38/8,402.74
  6. Step 6: Final answer
    x = 7,928.88

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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.