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Finding the Fourth Proportional to 52,640.12, 72,640.30 and 28,767

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Solution

The fourth proportional to 52,640.12, 72,640.30 and 28,767 is: 39,696.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,640.12 : 72,640.30 = 28,767 : x
  2. Step 2: Convert to fraction form
    52,640.12/72,640.30 = 28,767/x
  3. Step 3: Cross multiply
    52,640.12x = 72,640.30 × 28,767
  4. Step 4: Simplify right side
    52,640.12x = 2,089,643,510.10
  5. Step 5: Solve for x
    x = 2,089,643,510.10/52,640.12
  6. Step 6: Final answer
    x = 39,696.78

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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.