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Finding the Fourth Proportional to 6,540.70, 9,810.48 and 1,860.52

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Solution

The fourth proportional to 6,540.70, 9,810.48 and 1,860.52 is: 2,790.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.70 : 9,810.48 = 1,860.52 : x
  2. Step 2: Convert to fraction form
    6,540.70/9,810.48 = 1,860.52/x
  3. Step 3: Cross multiply
    6,540.70x = 9,810.48 × 1,860.52
  4. Step 4: Simplify right side
    6,540.70x = 18,252,594.25
  5. Step 5: Solve for x
    x = 18,252,594.25/6,540.70
  6. Step 6: Final answer
    x = 2,790.62

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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.