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Finding the Fourth Proportional to 1,403.09, 2,103.03 and 854.06

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Solution

The fourth proportional to 1,403.09, 2,103.03 and 854.06 is: 1,280.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.09 : 2,103.03 = 854.06 : x
  2. Step 2: Convert to fraction form
    1,403.09/2,103.03 = 854.06/x
  3. Step 3: Cross multiply
    1,403.09x = 2,103.03 × 854.06
  4. Step 4: Simplify right side
    1,403.09x = 1,796,103.29
  5. Step 5: Solve for x
    x = 1,796,103.29/1,403.09
  6. Step 6: Final answer
    x = 1,280.11

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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.