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Finding the Fourth Proportional to 4,617, 6,920.64 and 2,769.12

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Solution

The fourth proportional to 4,617, 6,920.64 and 2,769.12 is: 4,150.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617 : 6,920.64 = 2,769.12 : x
  2. Step 2: Convert to fraction form
    4,617/6,920.64 = 2,769.12/x
  3. Step 3: Cross multiply
    4,617x = 6,920.64 × 2,769.12
  4. Step 4: Simplify right side
    4,617x = 19,164,082.64
  5. Step 5: Solve for x
    x = 19,164,082.64/4,617
  6. Step 6: Final answer
    x = 4,150.77

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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.