Home / 1,514.12-2,269.56-783.32

Finding the Fourth Proportional to 1,514.12, 2,269.56 and 783.32

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Solution

The fourth proportional to 1,514.12, 2,269.56 and 783.32 is: 1,174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.12 : 2,269.56 = 783.32 : x
  2. Step 2: Convert to fraction form
    1,514.12/2,269.56 = 783.32/x
  3. Step 3: Cross multiply
    1,514.12x = 2,269.56 × 783.32
  4. Step 4: Simplify right side
    1,514.12x = 1,777,791.74
  5. Step 5: Solve for x
    x = 1,777,791.74/1,514.12
  6. Step 6: Final answer
    x = 1,174.14

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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.