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Finding the Fourth Proportional to 7,699.80, 11,549.72 and 1,856.42

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Solution

The fourth proportional to 7,699.80, 11,549.72 and 1,856.42 is: 2,784.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.80 : 11,549.72 = 1,856.42 : x
  2. Step 2: Convert to fraction form
    7,699.80/11,549.72 = 1,856.42/x
  3. Step 3: Cross multiply
    7,699.80x = 11,549.72 × 1,856.42
  4. Step 4: Simplify right side
    7,699.80x = 21,441,121.41
  5. Step 5: Solve for x
    x = 21,441,121.41/7,699.80
  6. Step 6: Final answer
    x = 2,784.63

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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.