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Finding the Fourth Proportional to 25,315.96, 37,978.26 and 7,785.40

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Solution

The fourth proportional to 25,315.96, 37,978.26 and 7,785.40 is: 11,679.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,315.96 : 37,978.26 = 7,785.40 : x
  2. Step 2: Convert to fraction form
    25,315.96/37,978.26 = 7,785.40/x
  3. Step 3: Cross multiply
    25,315.96x = 37,978.26 × 7,785.40
  4. Step 4: Simplify right side
    25,315.96x = 295,675,945.40
  5. Step 5: Solve for x
    x = 295,675,945.40/25,315.96
  6. Step 6: Final answer
    x = 11,679.43

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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.