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Finding the Fourth Proportional to 7,977, 11,969.82 and 4,470.12

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Solution

The fourth proportional to 7,977, 11,969.82 and 4,470.12 is: 6,707.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977 : 11,969.82 = 4,470.12 : x
  2. Step 2: Convert to fraction form
    7,977/11,969.82 = 4,470.12/x
  3. Step 3: Cross multiply
    7,977x = 11,969.82 × 4,470.12
  4. Step 4: Simplify right side
    7,977x = 53,506,531.78
  5. Step 5: Solve for x
    x = 53,506,531.78/7,977
  6. Step 6: Final answer
    x = 6,707.60

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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.