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Finding the Fourth Proportional to 12,282.53, 16,945.08 and 7,558.61

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Solution

The fourth proportional to 12,282.53, 16,945.08 and 7,558.61 is: 10,427.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.53 : 16,945.08 = 7,558.61 : x
  2. Step 2: Convert to fraction form
    12,282.53/16,945.08 = 7,558.61/x
  3. Step 3: Cross multiply
    12,282.53x = 16,945.08 × 7,558.61
  4. Step 4: Simplify right side
    12,282.53x = 128,081,251.14
  5. Step 5: Solve for x
    x = 128,081,251.14/12,282.53
  6. Step 6: Final answer
    x = 10,427.92

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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.