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Finding the Fourth Proportional to 3,528.75, 4,869.74 and 2,288.91

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Solution

The fourth proportional to 3,528.75, 4,869.74 and 2,288.91 is: 3,158.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,528.75 : 4,869.74 = 2,288.91 : x
  2. Step 2: Convert to fraction form
    3,528.75/4,869.74 = 2,288.91/x
  3. Step 3: Cross multiply
    3,528.75x = 4,869.74 × 2,288.91
  4. Step 4: Simplify right side
    3,528.75x = 11,146,385.14
  5. Step 5: Solve for x
    x = 11,146,385.14/3,528.75
  6. Step 6: Final answer
    x = 3,158.73

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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.