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Finding the Fourth Proportional to 7,705.66, 11,553.78 and 3,749.08

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Solution

The fourth proportional to 7,705.66, 11,553.78 and 3,749.08 is: 5,621.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.66 : 11,553.78 = 3,749.08 : x
  2. Step 2: Convert to fraction form
    7,705.66/11,553.78 = 3,749.08/x
  3. Step 3: Cross multiply
    7,705.66x = 11,553.78 × 3,749.08
  4. Step 4: Simplify right side
    7,705.66x = 43,316,045.52
  5. Step 5: Solve for x
    x = 43,316,045.52/7,705.66
  6. Step 6: Final answer
    x = 5,621.33

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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.