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Finding the Fourth Proportional to 10,927.40, 16,391.10 and 10,830.20

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Solution

The fourth proportional to 10,927.40, 16,391.10 and 10,830.20 is: 16,245.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,927.40 : 16,391.10 = 10,830.20 : x
  2. Step 2: Convert to fraction form
    10,927.40/16,391.10 = 10,830.20/x
  3. Step 3: Cross multiply
    10,927.40x = 16,391.10 × 10,830.20
  4. Step 4: Simplify right side
    10,927.40x = 177,518,891.22
  5. Step 5: Solve for x
    x = 177,518,891.22/10,927.40
  6. Step 6: Final answer
    x = 16,245.30

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Similar ratio
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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.