Home / 10,717.24-16,074-2,924.20

Finding the Fourth Proportional to 10,717.24, 16,074 and 2,924.20

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Solution

The fourth proportional to 10,717.24, 16,074 and 2,924.20 is: 4,385.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717.24 : 16,074 = 2,924.20 : x
  2. Step 2: Convert to fraction form
    10,717.24/16,074 = 2,924.20/x
  3. Step 3: Cross multiply
    10,717.24x = 16,074 × 2,924.20
  4. Step 4: Simplify right side
    10,717.24x = 47,003,590.80
  5. Step 5: Solve for x
    x = 47,003,590.80/10,717.24
  6. Step 6: Final answer
    x = 4,385.79

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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.