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Finding the Fourth Proportional to 2,908, 4,013.63 and 1,728.85

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Solution

The fourth proportional to 2,908, 4,013.63 and 1,728.85 is: 2,386.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908 : 4,013.63 = 1,728.85 : x
  2. Step 2: Convert to fraction form
    2,908/4,013.63 = 1,728.85/x
  3. Step 3: Cross multiply
    2,908x = 4,013.63 × 1,728.85
  4. Step 4: Simplify right side
    2,908x = 6,938,964.23
  5. Step 5: Solve for x
    x = 6,938,964.23/2,908
  6. Step 6: Final answer
    x = 2,386.16

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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.