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Finding the Fourth Proportional to 6,852.80, 10,280.80 and 2,470.72

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Solution

The fourth proportional to 6,852.80, 10,280.80 and 2,470.72 is: 3,706.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.80 : 10,280.80 = 2,470.72 : x
  2. Step 2: Convert to fraction form
    6,852.80/10,280.80 = 2,470.72/x
  3. Step 3: Cross multiply
    6,852.80x = 10,280.80 × 2,470.72
  4. Step 4: Simplify right side
    6,852.80x = 25,400,978.18
  5. Step 5: Solve for x
    x = 25,400,978.18/6,852.80
  6. Step 6: Final answer
    x = 3,706.66

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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.