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Finding the Fourth Proportional to 2,643.76, 3,962.58 and 1,473.49

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Solution

The fourth proportional to 2,643.76, 3,962.58 and 1,473.49 is: 2,208.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.76 : 3,962.58 = 1,473.49 : x
  2. Step 2: Convert to fraction form
    2,643.76/3,962.58 = 1,473.49/x
  3. Step 3: Cross multiply
    2,643.76x = 3,962.58 × 1,473.49
  4. Step 4: Simplify right side
    2,643.76x = 5,838,822.00
  5. Step 5: Solve for x
    x = 5,838,822.00/2,643.76
  6. Step 6: Final answer
    x = 2,208.53

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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.