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Finding the Fourth Proportional to 12,815.40, 19,223.10 and 9,316.20

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Solution

The fourth proportional to 12,815.40, 19,223.10 and 9,316.20 is: 13,974.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,815.40 : 19,223.10 = 9,316.20 : x
  2. Step 2: Convert to fraction form
    12,815.40/19,223.10 = 9,316.20/x
  3. Step 3: Cross multiply
    12,815.40x = 19,223.10 × 9,316.20
  4. Step 4: Simplify right side
    12,815.40x = 179,086,244.22
  5. Step 5: Solve for x
    x = 179,086,244.22/12,815.40
  6. Step 6: Final answer
    x = 13,974.30

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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.