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Finding the Fourth Proportional to 3,520, 4,853.18 and 2,258.83

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Solution

The fourth proportional to 3,520, 4,853.18 and 2,258.83 is: 3,114.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,520 : 4,853.18 = 2,258.83 : x
  2. Step 2: Convert to fraction form
    3,520/4,853.18 = 2,258.83/x
  3. Step 3: Cross multiply
    3,520x = 4,853.18 × 2,258.83
  4. Step 4: Simplify right side
    3,520x = 10,962,508.58
  5. Step 5: Solve for x
    x = 10,962,508.58/3,520
  6. Step 6: Final answer
    x = 3,114.35

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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.