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Finding the Fourth Proportional to 6,963.53, 9,610.52 and 3,978.68

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Solution

The fourth proportional to 6,963.53, 9,610.52 and 3,978.68 is: 5,491.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963.53 : 9,610.52 = 3,978.68 : x
  2. Step 2: Convert to fraction form
    6,963.53/9,610.52 = 3,978.68/x
  3. Step 3: Cross multiply
    6,963.53x = 9,610.52 × 3,978.68
  4. Step 4: Simplify right side
    6,963.53x = 38,237,115.77
  5. Step 5: Solve for x
    x = 38,237,115.77/6,963.53
  6. Step 6: Final answer
    x = 5,491.06

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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.