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Finding the Fourth Proportional to 10,889, 16,283.66 and 8,117.56

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Solution

The fourth proportional to 10,889, 16,283.66 and 8,117.56 is: 12,139.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,889 : 16,283.66 = 8,117.56 : x
  2. Step 2: Convert to fraction form
    10,889/16,283.66 = 8,117.56/x
  3. Step 3: Cross multiply
    10,889x = 16,283.66 × 8,117.56
  4. Step 4: Simplify right side
    10,889x = 132,183,587.07
  5. Step 5: Solve for x
    x = 132,183,587.07/10,889
  6. Step 6: Final answer
    x = 12,139.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.