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Finding the Fourth Proportional to 3,478.97, 4,800.90 and 2,152.32

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Solution

The fourth proportional to 3,478.97, 4,800.90 and 2,152.32 is: 2,970.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.97 : 4,800.90 = 2,152.32 : x
  2. Step 2: Convert to fraction form
    3,478.97/4,800.90 = 2,152.32/x
  3. Step 3: Cross multiply
    3,478.97x = 4,800.90 × 2,152.32
  4. Step 4: Simplify right side
    3,478.97x = 10,333,073.09
  5. Step 5: Solve for x
    x = 10,333,073.09/3,478.97
  6. Step 6: Final answer
    x = 2,970.15

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1.5x scale

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.