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Finding the Fourth Proportional to 12,293.76, 18,442.08 and 3,974.40

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Solution

The fourth proportional to 12,293.76, 18,442.08 and 3,974.40 is: 5,962.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,293.76 : 18,442.08 = 3,974.40 : x
  2. Step 2: Convert to fraction form
    12,293.76/18,442.08 = 3,974.40/x
  3. Step 3: Cross multiply
    12,293.76x = 18,442.08 × 3,974.40
  4. Step 4: Simplify right side
    12,293.76x = 73,296,202.75
  5. Step 5: Solve for x
    x = 73,296,202.75/12,293.76
  6. Step 6: Final answer
    x = 5,962.07

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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.