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Finding the Fourth Proportional to 2,678.93, 4,017.76 and 730.67

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Solution

The fourth proportional to 2,678.93, 4,017.76 and 730.67 is: 1,095.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.93 : 4,017.76 = 730.67 : x
  2. Step 2: Convert to fraction form
    2,678.93/4,017.76 = 730.67/x
  3. Step 3: Cross multiply
    2,678.93x = 4,017.76 × 730.67
  4. Step 4: Simplify right side
    2,678.93x = 2,935,634.78
  5. Step 5: Solve for x
    x = 2,935,634.78/2,678.93
  6. Step 6: Final answer
    x = 1,095.83

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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.