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Finding the Fourth Proportional to 6,981.92, 10,470.40 and 2,300.80

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Solution

The fourth proportional to 6,981.92, 10,470.40 and 2,300.80 is: 3,450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.92 : 10,470.40 = 2,300.80 : x
  2. Step 2: Convert to fraction form
    6,981.92/10,470.40 = 2,300.80/x
  3. Step 3: Cross multiply
    6,981.92x = 10,470.40 × 2,300.80
  4. Step 4: Simplify right side
    6,981.92x = 24,090,296.32
  5. Step 5: Solve for x
    x = 24,090,296.32/6,981.92
  6. Step 6: Final answer
    x = 3,450.38

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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.