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Finding the Fourth Proportional to 3,714.24, 5,571.24 and 1,521.32

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Solution

The fourth proportional to 3,714.24, 5,571.24 and 1,521.32 is: 2,281.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.24 : 5,571.24 = 1,521.32 : x
  2. Step 2: Convert to fraction form
    3,714.24/5,571.24 = 1,521.32/x
  3. Step 3: Cross multiply
    3,714.24x = 5,571.24 × 1,521.32
  4. Step 4: Simplify right side
    3,714.24x = 8,475,637.58
  5. Step 5: Solve for x
    x = 8,475,637.58/3,714.24
  6. Step 6: Final answer
    x = 2,281.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.