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Finding the Fourth Proportional to 1,832.47, 2,528.79 and 993.15

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Solution

The fourth proportional to 1,832.47, 2,528.79 and 993.15 is: 1,370.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.47 : 2,528.79 = 993.15 : x
  2. Step 2: Convert to fraction form
    1,832.47/2,528.79 = 993.15/x
  3. Step 3: Cross multiply
    1,832.47x = 2,528.79 × 993.15
  4. Step 4: Simplify right side
    1,832.47x = 2,511,462.82
  5. Step 5: Solve for x
    x = 2,511,462.82/1,832.47
  6. Step 6: Final answer
    x = 1,370.54

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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.