Home / 2,285.52-3,426.12-824.28

Finding the Fourth Proportional to 2,285.52, 3,426.12 and 824.28

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Solution

The fourth proportional to 2,285.52, 3,426.12 and 824.28 is: 1,235.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.52 : 3,426.12 = 824.28 : x
  2. Step 2: Convert to fraction form
    2,285.52/3,426.12 = 824.28/x
  3. Step 3: Cross multiply
    2,285.52x = 3,426.12 × 824.28
  4. Step 4: Simplify right side
    2,285.52x = 2,824,082.19
  5. Step 5: Solve for x
    x = 2,824,082.19/2,285.52
  6. Step 6: Final answer
    x = 1,235.64

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1.5x scale

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.