Home / 1,092.40-1,638.38-1,022.34

Finding the Fourth Proportional to 1,092.40, 1,638.38 and 1,022.34

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Solution

The fourth proportional to 1,092.40, 1,638.38 and 1,022.34 is: 1,533.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.40 : 1,638.38 = 1,022.34 : x
  2. Step 2: Convert to fraction form
    1,092.40/1,638.38 = 1,022.34/x
  3. Step 3: Cross multiply
    1,092.40x = 1,638.38 × 1,022.34
  4. Step 4: Simplify right side
    1,092.40x = 1,674,981.41
  5. Step 5: Solve for x
    x = 1,674,981.41/1,092.40
  6. Step 6: Final answer
    x = 1,533.30

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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.