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Finding the Fourth Proportional to 6,477.26, 9,713.81 and 2,778.49

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Solution

The fourth proportional to 6,477.26, 9,713.81 and 2,778.49 is: 4,166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.26 : 9,713.81 = 2,778.49 : x
  2. Step 2: Convert to fraction form
    6,477.26/9,713.81 = 2,778.49/x
  3. Step 3: Cross multiply
    6,477.26x = 9,713.81 × 2,778.49
  4. Step 4: Simplify right side
    6,477.26x = 26,989,743.04
  5. Step 5: Solve for x
    x = 26,989,743.04/6,477.26
  6. Step 6: Final answer
    x = 4,166.85

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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.