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Finding the Fourth Proportional to 7,978.56, 11,985.12 and 6,521.28

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Solution

The fourth proportional to 7,978.56, 11,985.12 and 6,521.28 is: 9,796.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.56 : 11,985.12 = 6,521.28 : x
  2. Step 2: Convert to fraction form
    7,978.56/11,985.12 = 6,521.28/x
  3. Step 3: Cross multiply
    7,978.56x = 11,985.12 × 6,521.28
  4. Step 4: Simplify right side
    7,978.56x = 78,158,323.35
  5. Step 5: Solve for x
    x = 78,158,323.35/7,978.56
  6. Step 6: Final answer
    x = 9,796.04

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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.