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Finding the Fourth Proportional to 1,384.61, 2,083.88 and 1,039.75

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Solution

The fourth proportional to 1,384.61, 2,083.88 and 1,039.75 is: 1,564.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.61 : 2,083.88 = 1,039.75 : x
  2. Step 2: Convert to fraction form
    1,384.61/2,083.88 = 1,039.75/x
  3. Step 3: Cross multiply
    1,384.61x = 2,083.88 × 1,039.75
  4. Step 4: Simplify right side
    1,384.61x = 2,166,716.83
  5. Step 5: Solve for x
    x = 2,166,716.83/1,384.61
  6. Step 6: Final answer
    x = 1,564.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.