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Finding the Fourth Proportional to 7,878.76, 11,825.42 and 3,985.88

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Solution

The fourth proportional to 7,878.76, 11,825.42 and 3,985.88 is: 5,982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.76 : 11,825.42 = 3,985.88 : x
  2. Step 2: Convert to fraction form
    7,878.76/11,825.42 = 3,985.88/x
  3. Step 3: Cross multiply
    7,878.76x = 11,825.42 × 3,985.88
  4. Step 4: Simplify right side
    7,878.76x = 47,134,705.07
  5. Step 5: Solve for x
    x = 47,134,705.07/7,878.76
  6. Step 6: Final answer
    x = 5,982.50

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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.