Home / 1,516.12-2,092.31-926.54

Finding the Fourth Proportional to 1,516.12, 2,092.31 and 926.54

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Solution

The fourth proportional to 1,516.12, 2,092.31 and 926.54 is: 1,278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.12 : 2,092.31 = 926.54 : x
  2. Step 2: Convert to fraction form
    1,516.12/2,092.31 = 926.54/x
  3. Step 3: Cross multiply
    1,516.12x = 2,092.31 × 926.54
  4. Step 4: Simplify right side
    1,516.12x = 1,938,602.53
  5. Step 5: Solve for x
    x = 1,938,602.53/1,516.12
  6. Step 6: Final answer
    x = 1,278.66

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1.5x scale

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.