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Finding the Fourth Proportional to 1,884.38, 2,827.78 and 730.13

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Solution

The fourth proportional to 1,884.38, 2,827.78 and 730.13 is: 1,095.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.38 : 2,827.78 = 730.13 : x
  2. Step 2: Convert to fraction form
    1,884.38/2,827.78 = 730.13/x
  3. Step 3: Cross multiply
    1,884.38x = 2,827.78 × 730.13
  4. Step 4: Simplify right side
    1,884.38x = 2,064,631.05
  5. Step 5: Solve for x
    x = 2,064,631.05/1,884.38
  6. Step 6: Final answer
    x = 1,095.66

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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.