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Finding the Fourth Proportional to 11,972.56, 16,543.56 and 9,326.80

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Solution

The fourth proportional to 11,972.56, 16,543.56 and 9,326.80 is: 12,887.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,972.56 : 16,543.56 = 9,326.80 : x
  2. Step 2: Convert to fraction form
    11,972.56/16,543.56 = 9,326.80/x
  3. Step 3: Cross multiply
    11,972.56x = 16,543.56 × 9,326.80
  4. Step 4: Simplify right side
    11,972.56x = 154,298,475.41
  5. Step 5: Solve for x
    x = 154,298,475.41/11,972.56
  6. Step 6: Final answer
    x = 12,887.68

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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.