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Finding the Fourth Proportional to 3,352, 4,626.24 and 2,109.76

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Solution

The fourth proportional to 3,352, 4,626.24 and 2,109.76 is: 2,911.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,352 : 4,626.24 = 2,109.76 : x
  2. Step 2: Convert to fraction form
    3,352/4,626.24 = 2,109.76/x
  3. Step 3: Cross multiply
    3,352x = 4,626.24 × 2,109.76
  4. Step 4: Simplify right side
    3,352x = 9,760,256.10
  5. Step 5: Solve for x
    x = 9,760,256.10/3,352
  6. Step 6: Final answer
    x = 2,911.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.