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Finding the Fourth Proportional to 7,699.17, 11,548.77 and 1,855.77

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Solution

The fourth proportional to 7,699.17, 11,548.77 and 1,855.77 is: 2,783.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.17 : 11,548.77 = 1,855.77 : x
  2. Step 2: Convert to fraction form
    7,699.17/11,548.77 = 1,855.77/x
  3. Step 3: Cross multiply
    7,699.17x = 11,548.77 × 1,855.77
  4. Step 4: Simplify right side
    7,699.17x = 21,431,860.90
  5. Step 5: Solve for x
    x = 21,431,860.90/7,699.17
  6. Step 6: Final answer
    x = 2,783.66

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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.