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Finding the Fourth Proportional to 1,396.91, 1,927.61 and 837.28

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Solution

The fourth proportional to 1,396.91, 1,927.61 and 837.28 is: 1,155.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.91 : 1,927.61 = 837.28 : x
  2. Step 2: Convert to fraction form
    1,396.91/1,927.61 = 837.28/x
  3. Step 3: Cross multiply
    1,396.91x = 1,927.61 × 837.28
  4. Step 4: Simplify right side
    1,396.91x = 1,613,935.48
  5. Step 5: Solve for x
    x = 1,613,935.48/1,396.91
  6. Step 6: Final answer
    x = 1,155.36

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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.