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Finding the Fourth Proportional to 7,985.54, 11,978.45 and 2,648.75

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Solution

The fourth proportional to 7,985.54, 11,978.45 and 2,648.75 is: 3,973.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,985.54 : 11,978.45 = 2,648.75 : x
  2. Step 2: Convert to fraction form
    7,985.54/11,978.45 = 2,648.75/x
  3. Step 3: Cross multiply
    7,985.54x = 11,978.45 × 2,648.75
  4. Step 4: Simplify right side
    7,985.54x = 31,727,846.30
  5. Step 5: Solve for x
    x = 31,727,846.30/7,985.54
  6. Step 6: Final answer
    x = 3,973.16

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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.