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Finding the Fourth Proportional to 7,985.71, 11,980.88 and 3,304.86

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Solution

The fourth proportional to 7,985.71, 11,980.88 and 3,304.86 is: 4,958.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,985.71 : 11,980.88 = 3,304.86 : x
  2. Step 2: Convert to fraction form
    7,985.71/11,980.88 = 3,304.86/x
  3. Step 3: Cross multiply
    7,985.71x = 11,980.88 × 3,304.86
  4. Step 4: Simplify right side
    7,985.71x = 39,595,101.12
  5. Step 5: Solve for x
    x = 39,595,101.12/7,985.71
  6. Step 6: Final answer
    x = 4,958.24

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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.