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Finding the Fourth Proportional to 1,388.66, 1,916.37 and 791.24

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Solution

The fourth proportional to 1,388.66, 1,916.37 and 791.24 is: 1,091.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.66 : 1,916.37 = 791.24 : x
  2. Step 2: Convert to fraction form
    1,388.66/1,916.37 = 791.24/x
  3. Step 3: Cross multiply
    1,388.66x = 1,916.37 × 791.24
  4. Step 4: Simplify right side
    1,388.66x = 1,516,299.02
  5. Step 5: Solve for x
    x = 1,516,299.02/1,388.66
  6. Step 6: Final answer
    x = 1,091.92

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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.