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Finding the Fourth Proportional to 7,980.73, 11,970.64 and 3,048.13

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Solution

The fourth proportional to 7,980.73, 11,970.64 and 3,048.13 is: 4,572.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.73 : 11,970.64 = 3,048.13 : x
  2. Step 2: Convert to fraction form
    7,980.73/11,970.64 = 3,048.13/x
  3. Step 3: Cross multiply
    7,980.73x = 11,970.64 × 3,048.13
  4. Step 4: Simplify right side
    7,980.73x = 36,488,068.53
  5. Step 5: Solve for x
    x = 36,488,068.53/7,980.73
  6. Step 6: Final answer
    x = 4,572.02

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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.