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Finding the Fourth Proportional to 3,488, 4,813.76 and 2,245.76

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Solution

The fourth proportional to 3,488, 4,813.76 and 2,245.76 is: 3,099.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488 : 4,813.76 = 2,245.76 : x
  2. Step 2: Convert to fraction form
    3,488/4,813.76 = 2,245.76/x
  3. Step 3: Cross multiply
    3,488x = 4,813.76 × 2,245.76
  4. Step 4: Simplify right side
    3,488x = 10,810,549.66
  5. Step 5: Solve for x
    x = 10,810,549.66/3,488
  6. Step 6: Final answer
    x = 3,099.35

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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.