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Finding the Fourth Proportional to 2,462.00, 3,396.80 and 1,399.68

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Solution

The fourth proportional to 2,462.00, 3,396.80 and 1,399.68 is: 1,931.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.00 : 3,396.80 = 1,399.68 : x
  2. Step 2: Convert to fraction form
    2,462.00/3,396.80 = 1,399.68/x
  3. Step 3: Cross multiply
    2,462.00x = 3,396.80 × 1,399.68
  4. Step 4: Simplify right side
    2,462.00x = 4,754,436.52
  5. Step 5: Solve for x
    x = 4,754,436.52/2,462.00
  6. Step 6: Final answer
    x = 1,931.13

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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.