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Finding the Fourth Proportional to 2,643.45, 3,647.13 and 1,524.24

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Solution

The fourth proportional to 2,643.45, 3,647.13 and 1,524.24 is: 2,102.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.45 : 3,647.13 = 1,524.24 : x
  2. Step 2: Convert to fraction form
    2,643.45/3,647.13 = 1,524.24/x
  3. Step 3: Cross multiply
    2,643.45x = 3,647.13 × 1,524.24
  4. Step 4: Simplify right side
    2,643.45x = 5,559,101.43
  5. Step 5: Solve for x
    x = 5,559,101.43/2,643.45
  6. Step 6: Final answer
    x = 2,102.97

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1.5x scale

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.