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Finding the Fourth Proportional to 25,403.90, 38,091.90 and 7,868.86

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Solution

The fourth proportional to 25,403.90, 38,091.90 and 7,868.86 is: 11,798.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,403.90 : 38,091.90 = 7,868.86 : x
  2. Step 2: Convert to fraction form
    25,403.90/38,091.90 = 7,868.86/x
  3. Step 3: Cross multiply
    25,403.90x = 38,091.90 × 7,868.86
  4. Step 4: Simplify right side
    25,403.90x = 299,739,828.23
  5. Step 5: Solve for x
    x = 299,739,828.23/25,403.90
  6. Step 6: Final answer
    x = 11,798.97

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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.