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Finding the Fourth Proportional to 52,638.16, 72,640.23 and 28,764.40

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Solution

The fourth proportional to 52,638.16, 72,640.23 and 28,764.40 is: 39,694.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,638.16 : 72,640.23 = 28,764.40 : x
  2. Step 2: Convert to fraction form
    52,638.16/72,640.23 = 28,764.40/x
  3. Step 3: Cross multiply
    52,638.16x = 72,640.23 × 28,764.40
  4. Step 4: Simplify right side
    52,638.16x = 2,089,452,268.61
  5. Step 5: Solve for x
    x = 2,089,452,268.61/52,638.16
  6. Step 6: Final answer
    x = 39,694.63

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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.