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Finding the Fourth Proportional to 2,642.99, 3,646.58 and 1,523.84

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Solution

The fourth proportional to 2,642.99, 3,646.58 and 1,523.84 is: 2,102.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.99 : 3,646.58 = 1,523.84 : x
  2. Step 2: Convert to fraction form
    2,642.99/3,646.58 = 1,523.84/x
  3. Step 3: Cross multiply
    2,642.99x = 3,646.58 × 1,523.84
  4. Step 4: Simplify right side
    2,642.99x = 5,556,778.62
  5. Step 5: Solve for x
    x = 5,556,778.62/2,642.99
  6. Step 6: Final answer
    x = 2,102.46

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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.