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Finding the Fourth Proportional to 7,978.95, 11,968.01 and 2,432.16

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Solution

The fourth proportional to 7,978.95, 11,968.01 and 2,432.16 is: 3,648.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.95 : 11,968.01 = 2,432.16 : x
  2. Step 2: Convert to fraction form
    7,978.95/11,968.01 = 2,432.16/x
  3. Step 3: Cross multiply
    7,978.95x = 11,968.01 × 2,432.16
  4. Step 4: Simplify right side
    7,978.95x = 29,108,103.04
  5. Step 5: Solve for x
    x = 29,108,103.04/7,978.95
  6. Step 6: Final answer
    x = 3,648.11

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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.