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Finding the Fourth Proportional to 1,833.08, 2,529.63 and 993.77

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Solution

The fourth proportional to 1,833.08, 2,529.63 and 993.77 is: 1,371.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.08 : 2,529.63 = 993.77 : x
  2. Step 2: Convert to fraction form
    1,833.08/2,529.63 = 993.77/x
  3. Step 3: Cross multiply
    1,833.08x = 2,529.63 × 993.77
  4. Step 4: Simplify right side
    1,833.08x = 2,513,857.76
  5. Step 5: Solve for x
    x = 2,513,857.76/1,833.08
  6. Step 6: Final answer
    x = 1,371.39

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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.