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Finding the Fourth Proportional to 6,483.74, 9,726.51 and 2,099.78

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Solution

The fourth proportional to 6,483.74, 9,726.51 and 2,099.78 is: 3,149.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.74 : 9,726.51 = 2,099.78 : x
  2. Step 2: Convert to fraction form
    6,483.74/9,726.51 = 2,099.78/x
  3. Step 3: Cross multiply
    6,483.74x = 9,726.51 × 2,099.78
  4. Step 4: Simplify right side
    6,483.74x = 20,423,531.17
  5. Step 5: Solve for x
    x = 20,423,531.17/6,483.74
  6. Step 6: Final answer
    x = 3,149.96

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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.