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Finding the Fourth Proportional to 1,326.30, 1,828.35 and 994.74

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Solution

The fourth proportional to 1,326.30, 1,828.35 and 994.74 is: 1,371.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.30 : 1,828.35 = 994.74 : x
  2. Step 2: Convert to fraction form
    1,326.30/1,828.35 = 994.74/x
  3. Step 3: Cross multiply
    1,326.30x = 1,828.35 × 994.74
  4. Step 4: Simplify right side
    1,326.30x = 1,818,732.88
  5. Step 5: Solve for x
    x = 1,818,732.88/1,326.30
  6. Step 6: Final answer
    x = 1,371.28

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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.