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Finding the Fourth Proportional to 2,218, 3,326.91 and 1,292.89

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Solution

The fourth proportional to 2,218, 3,326.91 and 1,292.89 is: 1,939.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218 : 3,326.91 = 1,292.89 : x
  2. Step 2: Convert to fraction form
    2,218/3,326.91 = 1,292.89/x
  3. Step 3: Cross multiply
    2,218x = 3,326.91 × 1,292.89
  4. Step 4: Simplify right side
    2,218x = 4,301,328.67
  5. Step 5: Solve for x
    x = 4,301,328.67/2,218
  6. Step 6: Final answer
    x = 1,939.28

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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.