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Finding the Fourth Proportional to 38,643.87, 57,866.63 and 26,780.75

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Solution

The fourth proportional to 38,643.87, 57,866.63 and 26,780.75 is: 40,102.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,643.87 : 57,866.63 = 26,780.75 : x
  2. Step 2: Convert to fraction form
    38,643.87/57,866.63 = 26,780.75/x
  3. Step 3: Cross multiply
    38,643.87x = 57,866.63 × 26,780.75
  4. Step 4: Simplify right side
    38,643.87x = 1,549,711,328.14
  5. Step 5: Solve for x
    x = 1,549,711,328.14/38,643.87
  6. Step 6: Final answer
    x = 40,102.38

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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.