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Finding the Fourth Proportional to 2,642.19, 3,646.19 and 1,447.17

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Solution

The fourth proportional to 2,642.19, 3,646.19 and 1,447.17 is: 1,997.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.19 : 3,646.19 = 1,447.17 : x
  2. Step 2: Convert to fraction form
    2,642.19/3,646.19 = 1,447.17/x
  3. Step 3: Cross multiply
    2,642.19x = 3,646.19 × 1,447.17
  4. Step 4: Simplify right side
    2,642.19x = 5,276,638.55
  5. Step 5: Solve for x
    x = 5,276,638.55/2,642.19
  6. Step 6: Final answer
    x = 1,997.07

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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.