Home / 1,407.58-2,105.60-1,324.65

Finding the Fourth Proportional to 1,407.58, 2,105.60 and 1,324.65

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Solution

The fourth proportional to 1,407.58, 2,105.60 and 1,324.65 is: 1,981.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.58 : 2,105.60 = 1,324.65 : x
  2. Step 2: Convert to fraction form
    1,407.58/2,105.60 = 1,324.65/x
  3. Step 3: Cross multiply
    1,407.58x = 2,105.60 × 1,324.65
  4. Step 4: Simplify right side
    1,407.58x = 2,789,184.31
  5. Step 5: Solve for x
    x = 2,789,184.31/1,407.58
  6. Step 6: Final answer
    x = 1,981.55

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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.