Home / 5,714.40-8,582.16-3,420

Finding the Fourth Proportional to 5,714.40, 8,582.16 and 3,420

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Solution

The fourth proportional to 5,714.40, 8,582.16 and 3,420 is: 5,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.40 : 8,582.16 = 3,420 : x
  2. Step 2: Convert to fraction form
    5,714.40/8,582.16 = 3,420/x
  3. Step 3: Cross multiply
    5,714.40x = 8,582.16 × 3,420
  4. Step 4: Simplify right side
    5,714.40x = 29,350,987.20
  5. Step 5: Solve for x
    x = 29,350,987.20/5,714.40
  6. Step 6: Final answer
    x = 5,136.32

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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.