Home / 2,289.18-3,432.75-828.34

Finding the Fourth Proportional to 2,289.18, 3,432.75 and 828.34

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Solution

The fourth proportional to 2,289.18, 3,432.75 and 828.34 is: 1,242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.18 : 3,432.75 = 828.34 : x
  2. Step 2: Convert to fraction form
    2,289.18/3,432.75 = 828.34/x
  3. Step 3: Cross multiply
    2,289.18x = 3,432.75 × 828.34
  4. Step 4: Simplify right side
    2,289.18x = 2,843,484.14
  5. Step 5: Solve for x
    x = 2,843,484.14/2,289.18
  6. Step 6: Final answer
    x = 1,242.14

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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.