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Finding the Fourth Proportional to 20,253.78, 27,952.06 and 12,298.02

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Solution

The fourth proportional to 20,253.78, 27,952.06 and 12,298.02 is: 16,972.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,253.78 : 27,952.06 = 12,298.02 : x
  2. Step 2: Convert to fraction form
    20,253.78/27,952.06 = 12,298.02/x
  3. Step 3: Cross multiply
    20,253.78x = 27,952.06 × 12,298.02
  4. Step 4: Simplify right side
    20,253.78x = 343,754,992.92
  5. Step 5: Solve for x
    x = 343,754,992.92/20,253.78
  6. Step 6: Final answer
    x = 16,972.39

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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.