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Finding the Fourth Proportional to 6,980.44, 10,470.66 and 2,599

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Solution

The fourth proportional to 6,980.44, 10,470.66 and 2,599 is: 3,898.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.44 : 10,470.66 = 2,599 : x
  2. Step 2: Convert to fraction form
    6,980.44/10,470.66 = 2,599/x
  3. Step 3: Cross multiply
    6,980.44x = 10,470.66 × 2,599
  4. Step 4: Simplify right side
    6,980.44x = 27,213,245.34
  5. Step 5: Solve for x
    x = 27,213,245.34/6,980.44
  6. Step 6: Final answer
    x = 3,898.50

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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.