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Finding the Fourth Proportional to 12,218.56, 16,856.08 and 7,501.12

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Solution

The fourth proportional to 12,218.56, 16,856.08 and 7,501.12 is: 10,348.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,218.56 : 16,856.08 = 7,501.12 : x
  2. Step 2: Convert to fraction form
    12,218.56/16,856.08 = 7,501.12/x
  3. Step 3: Cross multiply
    12,218.56x = 16,856.08 × 7,501.12
  4. Step 4: Simplify right side
    12,218.56x = 126,439,478.81
  5. Step 5: Solve for x
    x = 126,439,478.81/12,218.56
  6. Step 6: Final answer
    x = 10,348.15

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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.