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Finding the Fourth Proportional to 10,920.79, 16,381.19 and 8,719.21

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Solution

The fourth proportional to 10,920.79, 16,381.19 and 8,719.21 is: 13,078.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.79 : 16,381.19 = 8,719.21 : x
  2. Step 2: Convert to fraction form
    10,920.79/16,381.19 = 8,719.21/x
  3. Step 3: Cross multiply
    10,920.79x = 16,381.19 × 8,719.21
  4. Step 4: Simplify right side
    10,920.79x = 142,831,035.66
  5. Step 5: Solve for x
    x = 142,831,035.66/10,920.79
  6. Step 6: Final answer
    x = 13,078.82

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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.