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Finding the Fourth Proportional to 12,254.20, 18,351.68 and 6,973.20

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Solution

The fourth proportional to 12,254.20, 18,351.68 and 6,973.20 is: 10,442.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254.20 : 18,351.68 = 6,973.20 : x
  2. Step 2: Convert to fraction form
    12,254.20/18,351.68 = 6,973.20/x
  3. Step 3: Cross multiply
    12,254.20x = 18,351.68 × 6,973.20
  4. Step 4: Simplify right side
    12,254.20x = 127,969,934.98
  5. Step 5: Solve for x
    x = 127,969,934.98/12,254.20
  6. Step 6: Final answer
    x = 10,442.94

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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.