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Finding the Fourth Proportional to 2,991.35, 4,486.86 and 911.30

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Solution

The fourth proportional to 2,991.35, 4,486.86 and 911.30 is: 1,366.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.35 : 4,486.86 = 911.30 : x
  2. Step 2: Convert to fraction form
    2,991.35/4,486.86 = 911.30/x
  3. Step 3: Cross multiply
    2,991.35x = 4,486.86 × 911.30
  4. Step 4: Simplify right side
    2,991.35x = 4,088,875.52
  5. Step 5: Solve for x
    x = 4,088,875.52/2,991.35
  6. Step 6: Final answer
    x = 1,366.90

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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.