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Finding the Fourth Proportional to 34,696.80, 51,972.30 and 28,864.80

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Solution

The fourth proportional to 34,696.80, 51,972.30 and 28,864.80 is: 43,236.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,696.80 : 51,972.30 = 28,864.80 : x
  2. Step 2: Convert to fraction form
    34,696.80/51,972.30 = 28,864.80/x
  3. Step 3: Cross multiply
    34,696.80x = 51,972.30 × 28,864.80
  4. Step 4: Simplify right side
    34,696.80x = 1,500,170,045.04
  5. Step 5: Solve for x
    x = 1,500,170,045.04/34,696.80
  6. Step 6: Final answer
    x = 43,236.55

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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.