Home / 1,628.80-2,442.28-1,109.50

Finding the Fourth Proportional to 1,628.80, 2,442.28 and 1,109.50

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Solution

The fourth proportional to 1,628.80, 2,442.28 and 1,109.50 is: 1,663.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.80 : 2,442.28 = 1,109.50 : x
  2. Step 2: Convert to fraction form
    1,628.80/2,442.28 = 1,109.50/x
  3. Step 3: Cross multiply
    1,628.80x = 2,442.28 × 1,109.50
  4. Step 4: Simplify right side
    1,628.80x = 2,709,709.66
  5. Step 5: Solve for x
    x = 2,709,709.66/1,628.80
  6. Step 6: Final answer
    x = 1,663.62

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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.