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Finding the Fourth Proportional to 1,407.67, 1,941.12 and 935.41

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Solution

The fourth proportional to 1,407.67, 1,941.12 and 935.41 is: 1,289.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.67 : 1,941.12 = 935.41 : x
  2. Step 2: Convert to fraction form
    1,407.67/1,941.12 = 935.41/x
  3. Step 3: Cross multiply
    1,407.67x = 1,941.12 × 935.41
  4. Step 4: Simplify right side
    1,407.67x = 1,815,743.06
  5. Step 5: Solve for x
    x = 1,815,743.06/1,407.67
  6. Step 6: Final answer
    x = 1,289.89

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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.