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Finding the Fourth Proportional to 22,920.84, 31,630.68 and 12,849.39

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Solution

The fourth proportional to 22,920.84, 31,630.68 and 12,849.39 is: 17,732.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,920.84 : 31,630.68 = 12,849.39 : x
  2. Step 2: Convert to fraction form
    22,920.84/31,630.68 = 12,849.39/x
  3. Step 3: Cross multiply
    22,920.84x = 31,630.68 × 12,849.39
  4. Step 4: Simplify right side
    22,920.84x = 406,434,943.29
  5. Step 5: Solve for x
    x = 406,434,943.29/22,920.84
  6. Step 6: Final answer
    x = 17,732.11

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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.