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Finding the Fourth Proportional to 1,309.92, 1,805.94 and 1,122.62

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Solution

The fourth proportional to 1,309.92, 1,805.94 and 1,122.62 is: 1,547.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.92 : 1,805.94 = 1,122.62 : x
  2. Step 2: Convert to fraction form
    1,309.92/1,805.94 = 1,122.62/x
  3. Step 3: Cross multiply
    1,309.92x = 1,805.94 × 1,122.62
  4. Step 4: Simplify right side
    1,309.92x = 2,027,384.36
  5. Step 5: Solve for x
    x = 2,027,384.36/1,309.92
  6. Step 6: Final answer
    x = 1,547.72

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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.