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Finding the Fourth Proportional to 2,461, 3,396.18 and 1,357

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Solution

The fourth proportional to 2,461, 3,396.18 and 1,357 is: 1,872.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461 : 3,396.18 = 1,357 : x
  2. Step 2: Convert to fraction form
    2,461/3,396.18 = 1,357/x
  3. Step 3: Cross multiply
    2,461x = 3,396.18 × 1,357
  4. Step 4: Simplify right side
    2,461x = 4,608,616.26
  5. Step 5: Solve for x
    x = 4,608,616.26/2,461
  6. Step 6: Final answer
    x = 1,872.66

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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.