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Finding the Fourth Proportional to 10,728.86, 16,059.40 and 9,600.42

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Solution

The fourth proportional to 10,728.86, 16,059.40 and 9,600.42 is: 14,370.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.86 : 16,059.40 = 9,600.42 : x
  2. Step 2: Convert to fraction form
    10,728.86/16,059.40 = 9,600.42/x
  3. Step 3: Cross multiply
    10,728.86x = 16,059.40 × 9,600.42
  4. Step 4: Simplify right side
    10,728.86x = 154,176,960.95
  5. Step 5: Solve for x
    x = 154,176,960.95/10,728.86
  6. Step 6: Final answer
    x = 14,370.30

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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.