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Finding the Fourth Proportional to 1,309.93, 1,805.94 and 1,122.61

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Solution

The fourth proportional to 1,309.93, 1,805.94 and 1,122.61 is: 1,547.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.93 : 1,805.94 = 1,122.61 : x
  2. Step 2: Convert to fraction form
    1,309.93/1,805.94 = 1,122.61/x
  3. Step 3: Cross multiply
    1,309.93x = 1,805.94 × 1,122.61
  4. Step 4: Simplify right side
    1,309.93x = 2,027,366.30
  5. Step 5: Solve for x
    x = 2,027,366.30/1,309.93
  6. Step 6: Final answer
    x = 1,547.69

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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.