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Finding the Fourth Proportional to 8,284.64, 12,426.92 and 4,819.46

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Solution

The fourth proportional to 8,284.64, 12,426.92 and 4,819.46 is: 7,229.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.64 : 12,426.92 = 4,819.46 : x
  2. Step 2: Convert to fraction form
    8,284.64/12,426.92 = 4,819.46/x
  3. Step 3: Cross multiply
    8,284.64x = 12,426.92 × 4,819.46
  4. Step 4: Simplify right side
    8,284.64x = 59,891,019.77
  5. Step 5: Solve for x
    x = 59,891,019.77/8,284.64
  6. Step 6: Final answer
    x = 7,229.16

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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.