Home / 1,509.10-2,082.52-827.74

Finding the Fourth Proportional to 1,509.10, 2,082.52 and 827.74

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Solution

The fourth proportional to 1,509.10, 2,082.52 and 827.74 is: 1,142.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.10 : 2,082.52 = 827.74 : x
  2. Step 2: Convert to fraction form
    1,509.10/2,082.52 = 827.74/x
  3. Step 3: Cross multiply
    1,509.10x = 2,082.52 × 827.74
  4. Step 4: Simplify right side
    1,509.10x = 1,723,785.10
  5. Step 5: Solve for x
    x = 1,723,785.10/1,509.10
  6. Step 6: Final answer
    x = 1,142.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.