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Finding the Fourth Proportional to 12,397.22, 18,564.08 and 6,844.40

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Solution

The fourth proportional to 12,397.22, 18,564.08 and 6,844.40 is: 10,249.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397.22 : 18,564.08 = 6,844.40 : x
  2. Step 2: Convert to fraction form
    12,397.22/18,564.08 = 6,844.40/x
  3. Step 3: Cross multiply
    12,397.22x = 18,564.08 × 6,844.40
  4. Step 4: Simplify right side
    12,397.22x = 127,059,862.11
  5. Step 5: Solve for x
    x = 127,059,862.11/12,397.22
  6. Step 6: Final answer
    x = 10,249.06

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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.