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Finding the Fourth Proportional to 12,299.06, 16,978.20 and 8,332.22

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Solution

The fourth proportional to 12,299.06, 16,978.20 and 8,332.22 is: 11,502.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,299.06 : 16,978.20 = 8,332.22 : x
  2. Step 2: Convert to fraction form
    12,299.06/16,978.20 = 8,332.22/x
  3. Step 3: Cross multiply
    12,299.06x = 16,978.20 × 8,332.22
  4. Step 4: Simplify right side
    12,299.06x = 141,466,097.60
  5. Step 5: Solve for x
    x = 141,466,097.60/12,299.06
  6. Step 6: Final answer
    x = 11,502.19

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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.