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Finding the Fourth Proportional to 6,617, 9,131.46 and 3,822.50

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Solution

The fourth proportional to 6,617, 9,131.46 and 3,822.50 is: 5,275.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617 : 9,131.46 = 3,822.50 : x
  2. Step 2: Convert to fraction form
    6,617/9,131.46 = 3,822.50/x
  3. Step 3: Cross multiply
    6,617x = 9,131.46 × 3,822.50
  4. Step 4: Simplify right side
    6,617x = 34,905,005.85
  5. Step 5: Solve for x
    x = 34,905,005.85/6,617
  6. Step 6: Final answer
    x = 5,275.05

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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.