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Finding the Fourth Proportional to 1,611.39, 2,224.14 and 948.46

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Solution

The fourth proportional to 1,611.39, 2,224.14 and 948.46 is: 1,309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.39 : 2,224.14 = 948.46 : x
  2. Step 2: Convert to fraction form
    1,611.39/2,224.14 = 948.46/x
  3. Step 3: Cross multiply
    1,611.39x = 2,224.14 × 948.46
  4. Step 4: Simplify right side
    1,611.39x = 2,109,502.26
  5. Step 5: Solve for x
    x = 2,109,502.26/1,611.39
  6. Step 6: Final answer
    x = 1,309.12

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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.