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Finding the Fourth Proportional to 12,214.70, 16,856.28 and 6,909.39

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Solution

The fourth proportional to 12,214.70, 16,856.28 and 6,909.39 is: 9,534.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.70 : 16,856.28 = 6,909.39 : x
  2. Step 2: Convert to fraction form
    12,214.70/16,856.28 = 6,909.39/x
  3. Step 3: Cross multiply
    12,214.70x = 16,856.28 × 6,909.39
  4. Step 4: Simplify right side
    12,214.70x = 116,466,612.47
  5. Step 5: Solve for x
    x = 116,466,612.47/12,214.70
  6. Step 6: Final answer
    x = 9,534.96

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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.