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Finding the Fourth Proportional to 2,122.79, 3,181.10 and 1,507.68

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Solution

The fourth proportional to 2,122.79, 3,181.10 and 1,507.68 is: 2,259.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.79 : 3,181.10 = 1,507.68 : x
  2. Step 2: Convert to fraction form
    2,122.79/3,181.10 = 1,507.68/x
  3. Step 3: Cross multiply
    2,122.79x = 3,181.10 × 1,507.68
  4. Step 4: Simplify right side
    2,122.79x = 4,796,073.31
  5. Step 5: Solve for x
    x = 4,796,073.31/2,122.79
  6. Step 6: Final answer
    x = 2,259.33

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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.