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Finding the Fourth Proportional to 7,978.48, 11,957.16 and 6,122.50

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Solution

The fourth proportional to 7,978.48, 11,957.16 and 6,122.50 is: 9,175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.48 : 11,957.16 = 6,122.50 : x
  2. Step 2: Convert to fraction form
    7,978.48/11,957.16 = 6,122.50/x
  3. Step 3: Cross multiply
    7,978.48x = 11,957.16 × 6,122.50
  4. Step 4: Simplify right side
    7,978.48x = 73,207,712.10
  5. Step 5: Solve for x
    x = 73,207,712.10/7,978.48
  6. Step 6: Final answer
    x = 9,175.65

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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.