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Finding the Fourth Proportional to 2,678.47, 4,017.80 and 730.69

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Solution

The fourth proportional to 2,678.47, 4,017.80 and 730.69 is: 1,096.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.47 : 4,017.80 = 730.69 : x
  2. Step 2: Convert to fraction form
    2,678.47/4,017.80 = 730.69/x
  3. Step 3: Cross multiply
    2,678.47x = 4,017.80 × 730.69
  4. Step 4: Simplify right side
    2,678.47x = 2,935,758.06
  5. Step 5: Solve for x
    x = 2,935,758.06/2,678.47
  6. Step 6: Final answer
    x = 1,096.06

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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.