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Finding the Fourth Proportional to 1,396.31, 1,926.76 and 836.76

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Solution

The fourth proportional to 1,396.31, 1,926.76 and 836.76 is: 1,154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.31 : 1,926.76 = 836.76 : x
  2. Step 2: Convert to fraction form
    1,396.31/1,926.76 = 836.76/x
  3. Step 3: Cross multiply
    1,396.31x = 1,926.76 × 836.76
  4. Step 4: Simplify right side
    1,396.31x = 1,612,232.04
  5. Step 5: Solve for x
    x = 1,612,232.04/1,396.31
  6. Step 6: Final answer
    x = 1,154.64

Related Problems

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Half scale
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Double scale
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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.