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Finding the Fourth Proportional to 3,368, 4,648.32 and 3,220.40

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Solution

The fourth proportional to 3,368, 4,648.32 and 3,220.40 is: 4,444.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,368 : 4,648.32 = 3,220.40 : x
  2. Step 2: Convert to fraction form
    3,368/4,648.32 = 3,220.40/x
  3. Step 3: Cross multiply
    3,368x = 4,648.32 × 3,220.40
  4. Step 4: Simplify right side
    3,368x = 14,969,449.73
  5. Step 5: Solve for x
    x = 14,969,449.73/3,368
  6. Step 6: Final answer
    x = 4,444.61

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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.