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Finding the Fourth Proportional to 2,643.01, 3,646.92 and 1,523.71

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Solution

The fourth proportional to 2,643.01, 3,646.92 and 1,523.71 is: 2,102.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.01 : 3,646.92 = 1,523.71 : x
  2. Step 2: Convert to fraction form
    2,643.01/3,646.92 = 1,523.71/x
  3. Step 3: Cross multiply
    2,643.01x = 3,646.92 × 1,523.71
  4. Step 4: Simplify right side
    2,643.01x = 5,556,848.47
  5. Step 5: Solve for x
    x = 5,556,848.47/2,643.01
  6. Step 6: Final answer
    x = 2,102.47

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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.