Home / 1,631.24-2,447.21-535.71

Finding the Fourth Proportional to 1,631.24, 2,447.21 and 535.71

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Solution

The fourth proportional to 1,631.24, 2,447.21 and 535.71 is: 803.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.24 : 2,447.21 = 535.71 : x
  2. Step 2: Convert to fraction form
    1,631.24/2,447.21 = 535.71/x
  3. Step 3: Cross multiply
    1,631.24x = 2,447.21 × 535.71
  4. Step 4: Simplify right side
    1,631.24x = 1,311,005.39
  5. Step 5: Solve for x
    x = 1,311,005.39/1,631.24
  6. Step 6: Final answer
    x = 803.69

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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.