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Finding the Fourth Proportional to 25,758, 38,641.86 and 11,907

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Solution

The fourth proportional to 25,758, 38,641.86 and 11,907 is: 17,862.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,758 : 38,641.86 = 11,907 : x
  2. Step 2: Convert to fraction form
    25,758/38,641.86 = 11,907/x
  3. Step 3: Cross multiply
    25,758x = 38,641.86 × 11,907
  4. Step 4: Simplify right side
    25,758x = 460,108,627.02
  5. Step 5: Solve for x
    x = 460,108,627.02/25,758
  6. Step 6: Final answer
    x = 17,862.75

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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.