Home / 1,566.57-2,162.35-976.73

Finding the Fourth Proportional to 1,566.57, 2,162.35 and 976.73

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Solution

The fourth proportional to 1,566.57, 2,162.35 and 976.73 is: 1,348.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.57 : 2,162.35 = 976.73 : x
  2. Step 2: Convert to fraction form
    1,566.57/2,162.35 = 976.73/x
  3. Step 3: Cross multiply
    1,566.57x = 2,162.35 × 976.73
  4. Step 4: Simplify right side
    1,566.57x = 2,112,027.23
  5. Step 5: Solve for x
    x = 2,112,027.23/1,566.57
  6. Step 6: Final answer
    x = 1,348.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.