Home / 2,285.54-3,430.11-826.10

Finding the Fourth Proportional to 2,285.54, 3,430.11 and 826.10

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Solution

The fourth proportional to 2,285.54, 3,430.11 and 826.10 is: 1,239.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.54 : 3,430.11 = 826.10 : x
  2. Step 2: Convert to fraction form
    2,285.54/3,430.11 = 826.10/x
  3. Step 3: Cross multiply
    2,285.54x = 3,430.11 × 826.10
  4. Step 4: Simplify right side
    2,285.54x = 2,833,613.87
  5. Step 5: Solve for x
    x = 2,833,613.87/2,285.54
  6. Step 6: Final answer
    x = 1,239.80

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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.