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Finding the Fourth Proportional to 2,137, 2,948.34 and 1,252.84

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Solution

The fourth proportional to 2,137, 2,948.34 and 1,252.84 is: 1,728.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137 : 2,948.34 = 1,252.84 : x
  2. Step 2: Convert to fraction form
    2,137/2,948.34 = 1,252.84/x
  3. Step 3: Cross multiply
    2,137x = 2,948.34 × 1,252.84
  4. Step 4: Simplify right side
    2,137x = 3,693,798.29
  5. Step 5: Solve for x
    x = 3,693,798.29/2,137
  6. Step 6: Final answer
    x = 1,728.50

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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.