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Finding the Fourth Proportional to 38,722.50, 53,407.80 and 26,805.78

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Solution

The fourth proportional to 38,722.50, 53,407.80 and 26,805.78 is: 36,971.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,722.50 : 53,407.80 = 26,805.78 : x
  2. Step 2: Convert to fraction form
    38,722.50/53,407.80 = 26,805.78/x
  3. Step 3: Cross multiply
    38,722.50x = 53,407.80 × 26,805.78
  4. Step 4: Simplify right side
    38,722.50x = 1,431,637,737.08
  5. Step 5: Solve for x
    x = 1,431,637,737.08/38,722.50
  6. Step 6: Final answer
    x = 36,971.73

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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.