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Finding the Fourth Proportional to 7,980.40, 11,954.42 and 3,700.11

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Solution

The fourth proportional to 7,980.40, 11,954.42 and 3,700.11 is: 5,542.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.40 : 11,954.42 = 3,700.11 : x
  2. Step 2: Convert to fraction form
    7,980.40/11,954.42 = 3,700.11/x
  3. Step 3: Cross multiply
    7,980.40x = 11,954.42 × 3,700.11
  4. Step 4: Simplify right side
    7,980.40x = 44,232,590.71
  5. Step 5: Solve for x
    x = 44,232,590.71/7,980.40
  6. Step 6: Final answer
    x = 5,542.66

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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.