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Finding the Fourth Proportional to 8,984.66, 12,400.29 and 6,856.16

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Solution

The fourth proportional to 8,984.66, 12,400.29 and 6,856.16 is: 9,462.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,984.66 : 12,400.29 = 6,856.16 : x
  2. Step 2: Convert to fraction form
    8,984.66/12,400.29 = 6,856.16/x
  3. Step 3: Cross multiply
    8,984.66x = 12,400.29 × 6,856.16
  4. Step 4: Simplify right side
    8,984.66x = 85,018,310.28
  5. Step 5: Solve for x
    x = 85,018,310.28/8,984.66
  6. Step 6: Final answer
    x = 9,462.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.