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Finding the Fourth Proportional to 4,069.32, 6,104 and 991.32

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Solution

The fourth proportional to 4,069.32, 6,104 and 991.32 is: 1,486.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,069.32 : 6,104 = 991.32 : x
  2. Step 2: Convert to fraction form
    4,069.32/6,104 = 991.32/x
  3. Step 3: Cross multiply
    4,069.32x = 6,104 × 991.32
  4. Step 4: Simplify right side
    4,069.32x = 6,051,017.28
  5. Step 5: Solve for x
    x = 6,051,017.28/4,069.32
  6. Step 6: Final answer
    x = 1,486.98

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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.