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Finding the Fourth Proportional to 3,285.71, 4,534.09 and 1,869.20

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Solution

The fourth proportional to 3,285.71, 4,534.09 and 1,869.20 is: 2,579.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.71 : 4,534.09 = 1,869.20 : x
  2. Step 2: Convert to fraction form
    3,285.71/4,534.09 = 1,869.20/x
  3. Step 3: Cross multiply
    3,285.71x = 4,534.09 × 1,869.20
  4. Step 4: Simplify right side
    3,285.71x = 8,475,093.68
  5. Step 5: Solve for x
    x = 8,475,093.68/3,285.71
  6. Step 6: Final answer
    x = 2,579.38

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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.