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Finding the Fourth Proportional to 2,443.11, 3,663.67 and 776.66

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Solution

The fourth proportional to 2,443.11, 3,663.67 and 776.66 is: 1,164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.11 : 3,663.67 = 776.66 : x
  2. Step 2: Convert to fraction form
    2,443.11/3,663.67 = 776.66/x
  3. Step 3: Cross multiply
    2,443.11x = 3,663.67 × 776.66
  4. Step 4: Simplify right side
    2,443.11x = 2,845,419.42
  5. Step 5: Solve for x
    x = 2,845,419.42/2,443.11
  6. Step 6: Final answer
    x = 1,164.67

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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.