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Finding the Fourth Proportional to 22,302.39, 30,776.12 and 12,740.39

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Solution

The fourth proportional to 22,302.39, 30,776.12 and 12,740.39 is: 17,581.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,302.39 : 30,776.12 = 12,740.39 : x
  2. Step 2: Convert to fraction form
    22,302.39/30,776.12 = 12,740.39/x
  3. Step 3: Cross multiply
    22,302.39x = 30,776.12 × 12,740.39
  4. Step 4: Simplify right side
    22,302.39x = 392,099,717.09
  5. Step 5: Solve for x
    x = 392,099,717.09/22,302.39
  6. Step 6: Final answer
    x = 17,581.06

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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.