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Finding the Fourth Proportional to 6,963.69, 9,610.14 and 4,978.99

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Solution

The fourth proportional to 6,963.69, 9,610.14 and 4,978.99 is: 6,871.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963.69 : 9,610.14 = 4,978.99 : x
  2. Step 2: Convert to fraction form
    6,963.69/9,610.14 = 4,978.99/x
  3. Step 3: Cross multiply
    6,963.69x = 9,610.14 × 4,978.99
  4. Step 4: Simplify right side
    6,963.69x = 47,848,821.64
  5. Step 5: Solve for x
    x = 47,848,821.64/6,963.69
  6. Step 6: Final answer
    x = 6,871.18

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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.