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Finding the Fourth Proportional to 3,097.47, 4,640.79 and 2,580.79

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Solution

The fourth proportional to 3,097.47, 4,640.79 and 2,580.79 is: 3,866.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.47 : 4,640.79 = 2,580.79 : x
  2. Step 2: Convert to fraction form
    3,097.47/4,640.79 = 2,580.79/x
  3. Step 3: Cross multiply
    3,097.47x = 4,640.79 × 2,580.79
  4. Step 4: Simplify right side
    3,097.47x = 11,976,904.42
  5. Step 5: Solve for x
    x = 11,976,904.42/3,097.47
  6. Step 6: Final answer
    x = 3,866.67

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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.