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Finding the Fourth Proportional to 6,499.11, 9,749.63 and 1,881.51

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Solution

The fourth proportional to 6,499.11, 9,749.63 and 1,881.51 is: 2,822.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.11 : 9,749.63 = 1,881.51 : x
  2. Step 2: Convert to fraction form
    6,499.11/9,749.63 = 1,881.51/x
  3. Step 3: Cross multiply
    6,499.11x = 9,749.63 × 1,881.51
  4. Step 4: Simplify right side
    6,499.11x = 18,344,016.93
  5. Step 5: Solve for x
    x = 18,344,016.93/6,499.11
  6. Step 6: Final answer
    x = 2,822.54

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Double scale
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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.