Home / 2,287.48-3,430.34-826.36

Finding the Fourth Proportional to 2,287.48, 3,430.34 and 826.36

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Solution

The fourth proportional to 2,287.48, 3,430.34 and 826.36 is: 1,239.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.48 : 3,430.34 = 826.36 : x
  2. Step 2: Convert to fraction form
    2,287.48/3,430.34 = 826.36/x
  3. Step 3: Cross multiply
    2,287.48x = 3,430.34 × 826.36
  4. Step 4: Simplify right side
    2,287.48x = 2,834,695.76
  5. Step 5: Solve for x
    x = 2,834,695.76/2,287.48
  6. Step 6: Final answer
    x = 1,239.22

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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.