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Finding the Fourth Proportional to 2,459.78, 3,398.81 and 1,966.49

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Solution

The fourth proportional to 2,459.78, 3,398.81 and 1,966.49 is: 2,717.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.78 : 3,398.81 = 1,966.49 : x
  2. Step 2: Convert to fraction form
    2,459.78/3,398.81 = 1,966.49/x
  3. Step 3: Cross multiply
    2,459.78x = 3,398.81 × 1,966.49
  4. Step 4: Simplify right side
    2,459.78x = 6,683,725.88
  5. Step 5: Solve for x
    x = 6,683,725.88/2,459.78
  6. Step 6: Final answer
    x = 2,717.20

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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.