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Finding the Fourth Proportional to 21,178.84, 31,768.26 and 8,696.74

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Solution

The fourth proportional to 21,178.84, 31,768.26 and 8,696.74 is: 13,045.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,178.84 : 31,768.26 = 8,696.74 : x
  2. Step 2: Convert to fraction form
    21,178.84/31,768.26 = 8,696.74/x
  3. Step 3: Cross multiply
    21,178.84x = 31,768.26 × 8,696.74
  4. Step 4: Simplify right side
    21,178.84x = 276,280,297.47
  5. Step 5: Solve for x
    x = 276,280,297.47/21,178.84
  6. Step 6: Final answer
    x = 13,045.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.