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Finding the Fourth Proportional to 2,897.70, 4,363.56 and 2,081.67

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Solution

The fourth proportional to 2,897.70, 4,363.56 and 2,081.67 is: 3,134.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.70 : 4,363.56 = 2,081.67 : x
  2. Step 2: Convert to fraction form
    2,897.70/4,363.56 = 2,081.67/x
  3. Step 3: Cross multiply
    2,897.70x = 4,363.56 × 2,081.67
  4. Step 4: Simplify right side
    2,897.70x = 9,083,509.47
  5. Step 5: Solve for x
    x = 9,083,509.47/2,897.70
  6. Step 6: Final answer
    x = 3,134.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.