Home / 1,319.14-1,976.75-1,042.12

Finding the Fourth Proportional to 1,319.14, 1,976.75 and 1,042.12

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Solution

The fourth proportional to 1,319.14, 1,976.75 and 1,042.12 is: 1,561.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.14 : 1,976.75 = 1,042.12 : x
  2. Step 2: Convert to fraction form
    1,319.14/1,976.75 = 1,042.12/x
  3. Step 3: Cross multiply
    1,319.14x = 1,976.75 × 1,042.12
  4. Step 4: Simplify right side
    1,319.14x = 2,060,010.71
  5. Step 5: Solve for x
    x = 2,060,010.71/1,319.14
  6. Step 6: Final answer
    x = 1,561.63

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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.