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Finding the Fourth Proportional to 22,282.84, 30,746.28 and 12,722.68

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Solution

The fourth proportional to 22,282.84, 30,746.28 and 12,722.68 is: 17,554.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,282.84 : 30,746.28 = 12,722.68 : x
  2. Step 2: Convert to fraction form
    22,282.84/30,746.28 = 12,722.68/x
  3. Step 3: Cross multiply
    22,282.84x = 30,746.28 × 12,722.68
  4. Step 4: Simplify right side
    22,282.84x = 391,175,081.63
  5. Step 5: Solve for x
    x = 391,175,081.63/22,282.84
  6. Step 6: Final answer
    x = 17,554.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.