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Finding the Fourth Proportional to 25,870.50, 38,751.08 and 11,842.31

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Solution

The fourth proportional to 25,870.50, 38,751.08 and 11,842.31 is: 17,738.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,870.50 : 38,751.08 = 11,842.31 : x
  2. Step 2: Convert to fraction form
    25,870.50/38,751.08 = 11,842.31/x
  3. Step 3: Cross multiply
    25,870.50x = 38,751.08 × 11,842.31
  4. Step 4: Simplify right side
    25,870.50x = 458,902,339.86
  5. Step 5: Solve for x
    x = 458,902,339.86/25,870.50
  6. Step 6: Final answer
    x = 17,738.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.