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Finding the Fourth Proportional to 21,184.66, 31,758.89 and 8,696.89

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Solution

The fourth proportional to 21,184.66, 31,758.89 and 8,696.89 is: 13,037.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,184.66 : 31,758.89 = 8,696.89 : x
  2. Step 2: Convert to fraction form
    21,184.66/31,758.89 = 8,696.89/x
  3. Step 3: Cross multiply
    21,184.66x = 31,758.89 × 8,696.89
  4. Step 4: Simplify right side
    21,184.66x = 276,203,658.39
  5. Step 5: Solve for x
    x = 276,203,658.39/21,184.66
  6. Step 6: Final answer
    x = 13,037.91

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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.