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Finding the Fourth Proportional to 12,246.14, 16,899.65 and 7,278.14

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Solution

The fourth proportional to 12,246.14, 16,899.65 and 7,278.14 is: 10,043.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,246.14 : 16,899.65 = 7,278.14 : x
  2. Step 2: Convert to fraction form
    12,246.14/16,899.65 = 7,278.14/x
  3. Step 3: Cross multiply
    12,246.14x = 16,899.65 × 7,278.14
  4. Step 4: Simplify right side
    12,246.14x = 122,998,018.65
  5. Step 5: Solve for x
    x = 122,998,018.65/12,246.14
  6. Step 6: Final answer
    x = 10,043.82

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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.