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Finding the Fourth Proportional to 7,511.77, 11,266.80 and 1,965.65

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Solution

The fourth proportional to 7,511.77, 11,266.80 and 1,965.65 is: 2,948.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,511.77 : 11,266.80 = 1,965.65 : x
  2. Step 2: Convert to fraction form
    7,511.77/11,266.80 = 1,965.65/x
  3. Step 3: Cross multiply
    7,511.77x = 11,266.80 × 1,965.65
  4. Step 4: Simplify right side
    7,511.77x = 22,146,585.09
  5. Step 5: Solve for x
    x = 22,146,585.09/7,511.77
  6. Step 6: Final answer
    x = 2,948.25

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Similar ratio
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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.