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Finding the Fourth Proportional to 13,697.68, 18,934.68 and 12,220.24

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Solution

The fourth proportional to 13,697.68, 18,934.68 and 12,220.24 is: 16,892.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.68 : 18,934.68 = 12,220.24 : x
  2. Step 2: Convert to fraction form
    13,697.68/18,934.68 = 12,220.24/x
  3. Step 3: Cross multiply
    13,697.68x = 18,934.68 × 12,220.24
  4. Step 4: Simplify right side
    13,697.68x = 231,386,333.92
  5. Step 5: Solve for x
    x = 231,386,333.92/13,697.68
  6. Step 6: Final answer
    x = 16,892.37

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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.