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Finding the Fourth Proportional to 4,921.48, 7,382.25 and 1,223.71

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Solution

The fourth proportional to 4,921.48, 7,382.25 and 1,223.71 is: 1,835.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,921.48 : 7,382.25 = 1,223.71 : x
  2. Step 2: Convert to fraction form
    4,921.48/7,382.25 = 1,223.71/x
  3. Step 3: Cross multiply
    4,921.48x = 7,382.25 × 1,223.71
  4. Step 4: Simplify right side
    4,921.48x = 9,033,754.66
  5. Step 5: Solve for x
    x = 9,033,754.66/4,921.48
  6. Step 6: Final answer
    x = 1,835.58

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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.