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Finding the Fourth Proportional to 3,182.64, 4,774.77 and 991.40

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Solution

The fourth proportional to 3,182.64, 4,774.77 and 991.40 is: 1,487.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.64 : 4,774.77 = 991.40 : x
  2. Step 2: Convert to fraction form
    3,182.64/4,774.77 = 991.40/x
  3. Step 3: Cross multiply
    3,182.64x = 4,774.77 × 991.40
  4. Step 4: Simplify right side
    3,182.64x = 4,733,683.10
  5. Step 5: Solve for x
    x = 4,733,683.10/3,182.64
  6. Step 6: Final answer
    x = 1,487.34

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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.