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Finding the Fourth Proportional to 1,611.78, 2,224.32 and 948.60

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Solution

The fourth proportional to 1,611.78, 2,224.32 and 948.60 is: 1,309.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.78 : 2,224.32 = 948.60 : x
  2. Step 2: Convert to fraction form
    1,611.78/2,224.32 = 948.60/x
  3. Step 3: Cross multiply
    1,611.78x = 2,224.32 × 948.60
  4. Step 4: Simplify right side
    1,611.78x = 2,109,989.95
  5. Step 5: Solve for x
    x = 2,109,989.95/1,611.78
  6. Step 6: Final answer
    x = 1,309.11

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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.