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Finding the Fourth Proportional to 1,801.61, 2,486.04 and 1,004.85

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Solution

The fourth proportional to 1,801.61, 2,486.04 and 1,004.85 is: 1,386.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.61 : 2,486.04 = 1,004.85 : x
  2. Step 2: Convert to fraction form
    1,801.61/2,486.04 = 1,004.85/x
  3. Step 3: Cross multiply
    1,801.61x = 2,486.04 × 1,004.85
  4. Step 4: Simplify right side
    1,801.61x = 2,498,097.29
  5. Step 5: Solve for x
    x = 2,498,097.29/1,801.61
  6. Step 6: Final answer
    x = 1,386.60

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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.