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Finding the Fourth Proportional to 12,161.78, 16,784.52 and 7,449.20

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Solution

The fourth proportional to 12,161.78, 16,784.52 and 7,449.20 is: 10,280.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161.78 : 16,784.52 = 7,449.20 : x
  2. Step 2: Convert to fraction form
    12,161.78/16,784.52 = 7,449.20/x
  3. Step 3: Cross multiply
    12,161.78x = 16,784.52 × 7,449.20
  4. Step 4: Simplify right side
    12,161.78x = 125,031,246.38
  5. Step 5: Solve for x
    x = 125,031,246.38/12,161.78
  6. Step 6: Final answer
    x = 10,280.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.