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Finding the Fourth Proportional to 1,602.59, 2,212.11 and 940.01

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Solution

The fourth proportional to 1,602.59, 2,212.11 and 940.01 is: 1,297.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.59 : 2,212.11 = 940.01 : x
  2. Step 2: Convert to fraction form
    1,602.59/2,212.11 = 940.01/x
  3. Step 3: Cross multiply
    1,602.59x = 2,212.11 × 940.01
  4. Step 4: Simplify right side
    1,602.59x = 2,079,394.46
  5. Step 5: Solve for x
    x = 2,079,394.46/1,602.59
  6. Step 6: Final answer
    x = 1,297.53

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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.