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Finding the Fourth Proportional to 2,828.24, 3,903 and 1,569.32

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Solution

The fourth proportional to 2,828.24, 3,903 and 1,569.32 is: 2,165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.24 : 3,903 = 1,569.32 : x
  2. Step 2: Convert to fraction form
    2,828.24/3,903 = 1,569.32/x
  3. Step 3: Cross multiply
    2,828.24x = 3,903 × 1,569.32
  4. Step 4: Simplify right side
    2,828.24x = 6,125,055.96
  5. Step 5: Solve for x
    x = 6,125,055.96/2,828.24
  6. Step 6: Final answer
    x = 2,165.68

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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.