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Finding the Fourth Proportional to 3,456.03, 5,184.94 and 991.02

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Solution

The fourth proportional to 3,456.03, 5,184.94 and 991.02 is: 1,486.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.03 : 5,184.94 = 991.02 : x
  2. Step 2: Convert to fraction form
    3,456.03/5,184.94 = 991.02/x
  3. Step 3: Cross multiply
    3,456.03x = 5,184.94 × 991.02
  4. Step 4: Simplify right side
    3,456.03x = 5,138,376.76
  5. Step 5: Solve for x
    x = 5,138,376.76/3,456.03
  6. Step 6: Final answer
    x = 1,486.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.