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Finding the Fourth Proportional to 6,989.75, 9,646.01 and 3,845.95

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Solution

The fourth proportional to 6,989.75, 9,646.01 and 3,845.95 is: 5,307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.75 : 9,646.01 = 3,845.95 : x
  2. Step 2: Convert to fraction form
    6,989.75/9,646.01 = 3,845.95/x
  3. Step 3: Cross multiply
    6,989.75x = 9,646.01 × 3,845.95
  4. Step 4: Simplify right side
    6,989.75x = 37,098,072.16
  5. Step 5: Solve for x
    x = 37,098,072.16/6,989.75
  6. Step 6: Final answer
    x = 5,307.50

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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.