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Finding the Fourth Proportional to 2,623.65, 3,935.51 and 749.54

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Solution

The fourth proportional to 2,623.65, 3,935.51 and 749.54 is: 1,124.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,623.65 : 3,935.51 = 749.54 : x
  2. Step 2: Convert to fraction form
    2,623.65/3,935.51 = 749.54/x
  3. Step 3: Cross multiply
    2,623.65x = 3,935.51 × 749.54
  4. Step 4: Simplify right side
    2,623.65x = 2,949,822.17
  5. Step 5: Solve for x
    x = 2,949,822.17/2,623.65
  6. Step 6: Final answer
    x = 1,124.32

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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.