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Finding the Fourth Proportional to 8,216.29, 12,312.78 and 6,358.76

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Solution

The fourth proportional to 8,216.29, 12,312.78 and 6,358.76 is: 9,529.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.29 : 12,312.78 = 6,358.76 : x
  2. Step 2: Convert to fraction form
    8,216.29/12,312.78 = 6,358.76/x
  3. Step 3: Cross multiply
    8,216.29x = 12,312.78 × 6,358.76
  4. Step 4: Simplify right side
    8,216.29x = 78,293,951.39
  5. Step 5: Solve for x
    x = 78,293,951.39/8,216.29
  6. Step 6: Final answer
    x = 9,529.11

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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.