Home / 10,022-15,031.76-4,177.84

Finding the Fourth Proportional to 10,022, 15,031.76 and 4,177.84

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Solution

The fourth proportional to 10,022, 15,031.76 and 4,177.84 is: 6,266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022 : 15,031.76 = 4,177.84 : x
  2. Step 2: Convert to fraction form
    10,022/15,031.76 = 4,177.84/x
  3. Step 3: Cross multiply
    10,022x = 15,031.76 × 4,177.84
  4. Step 4: Simplify right side
    10,022x = 62,800,288.20
  5. Step 5: Solve for x
    x = 62,800,288.20/10,022
  6. Step 6: Final answer
    x = 6,266.24

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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.