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Finding the Fourth Proportional to 12,465.84, 18,612 and 11,221.68

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Solution

The fourth proportional to 12,465.84, 18,612 and 11,221.68 is: 16,754.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.84 : 18,612 = 11,221.68 : x
  2. Step 2: Convert to fraction form
    12,465.84/18,612 = 11,221.68/x
  3. Step 3: Cross multiply
    12,465.84x = 18,612 × 11,221.68
  4. Step 4: Simplify right side
    12,465.84x = 208,857,908.16
  5. Step 5: Solve for x
    x = 208,857,908.16/12,465.84
  6. Step 6: Final answer
    x = 16,754.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.