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Finding the Fourth Proportional to 6,540.43, 9,810.65 and 1,923.43

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Solution

The fourth proportional to 6,540.43, 9,810.65 and 1,923.43 is: 2,885.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.43 : 9,810.65 = 1,923.43 : x
  2. Step 2: Convert to fraction form
    6,540.43/9,810.65 = 1,923.43/x
  3. Step 3: Cross multiply
    6,540.43x = 9,810.65 × 1,923.43
  4. Step 4: Simplify right side
    6,540.43x = 18,870,134.54
  5. Step 5: Solve for x
    x = 18,870,134.54/6,540.43
  6. Step 6: Final answer
    x = 2,885.15

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1.5x scale

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.