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Finding the Fourth Proportional to 1,833.28, 2,529.93 and 993.98

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Solution

The fourth proportional to 1,833.28, 2,529.93 and 993.98 is: 1,371.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.28 : 2,529.93 = 993.98 : x
  2. Step 2: Convert to fraction form
    1,833.28/2,529.93 = 993.98/x
  3. Step 3: Cross multiply
    1,833.28x = 2,529.93 × 993.98
  4. Step 4: Simplify right side
    1,833.28x = 2,514,706.15
  5. Step 5: Solve for x
    x = 2,514,706.15/1,833.28
  6. Step 6: Final answer
    x = 1,371.70

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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.