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Finding the Fourth Proportional to 14,166.76, 19,549.87 and 7,879

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Solution

The fourth proportional to 14,166.76, 19,549.87 and 7,879 is: 10,872.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,166.76 : 19,549.87 = 7,879 : x
  2. Step 2: Convert to fraction form
    14,166.76/19,549.87 = 7,879/x
  3. Step 3: Cross multiply
    14,166.76x = 19,549.87 × 7,879
  4. Step 4: Simplify right side
    14,166.76x = 154,033,425.73
  5. Step 5: Solve for x
    x = 154,033,425.73/14,166.76
  6. Step 6: Final answer
    x = 10,872.88

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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.