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Finding the Fourth Proportional to 10,859.20, 16,321.20 and 9,433.60

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Solution

The fourth proportional to 10,859.20, 16,321.20 and 9,433.60 is: 14,178.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.20 : 16,321.20 = 9,433.60 : x
  2. Step 2: Convert to fraction form
    10,859.20/16,321.20 = 9,433.60/x
  3. Step 3: Cross multiply
    10,859.20x = 16,321.20 × 9,433.60
  4. Step 4: Simplify right side
    10,859.20x = 153,967,672.32
  5. Step 5: Solve for x
    x = 153,967,672.32/10,859.20
  6. Step 6: Final answer
    x = 14,178.55

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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.