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Finding the Fourth Proportional to 6,143.93, 8,478.65 and 3,491.49

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Solution

The fourth proportional to 6,143.93, 8,478.65 and 3,491.49 is: 4,818.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.93 : 8,478.65 = 3,491.49 : x
  2. Step 2: Convert to fraction form
    6,143.93/8,478.65 = 3,491.49/x
  3. Step 3: Cross multiply
    6,143.93x = 8,478.65 × 3,491.49
  4. Step 4: Simplify right side
    6,143.93x = 29,603,121.69
  5. Step 5: Solve for x
    x = 29,603,121.69/6,143.93
  6. Step 6: Final answer
    x = 4,818.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.