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Finding the Fourth Proportional to 2,643.42, 3,960.81 and 1,548.66

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Solution

The fourth proportional to 2,643.42, 3,960.81 and 1,548.66 is: 2,320.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.42 : 3,960.81 = 1,548.66 : x
  2. Step 2: Convert to fraction form
    2,643.42/3,960.81 = 1,548.66/x
  3. Step 3: Cross multiply
    2,643.42x = 3,960.81 × 1,548.66
  4. Step 4: Simplify right side
    2,643.42x = 6,133,948.01
  5. Step 5: Solve for x
    x = 6,133,948.01/2,643.42
  6. Step 6: Final answer
    x = 2,320.46

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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.