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Finding the Fourth Proportional to 3,478.89, 4,772.28 and 3,290.58

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Solution

The fourth proportional to 3,478.89, 4,772.28 and 3,290.58 is: 4,513.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.89 : 4,772.28 = 3,290.58 : x
  2. Step 2: Convert to fraction form
    3,478.89/4,772.28 = 3,290.58/x
  3. Step 3: Cross multiply
    3,478.89x = 4,772.28 × 3,290.58
  4. Step 4: Simplify right side
    3,478.89x = 15,703,569.12
  5. Step 5: Solve for x
    x = 15,703,569.12/3,478.89
  6. Step 6: Final answer
    x = 4,513.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.