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Finding the Fourth Proportional to 6,123.66, 9,185.32 and 1,963.50

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Solution

The fourth proportional to 6,123.66, 9,185.32 and 1,963.50 is: 2,945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.66 : 9,185.32 = 1,963.50 : x
  2. Step 2: Convert to fraction form
    6,123.66/9,185.32 = 1,963.50/x
  3. Step 3: Cross multiply
    6,123.66x = 9,185.32 × 1,963.50
  4. Step 4: Simplify right side
    6,123.66x = 18,035,375.82
  5. Step 5: Solve for x
    x = 18,035,375.82/6,123.66
  6. Step 6: Final answer
    x = 2,945.20

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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.