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Finding the Fourth Proportional to 3,088, 4,259.52 and 2,344.78

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Solution

The fourth proportional to 3,088, 4,259.52 and 2,344.78 is: 3,234.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,088 : 4,259.52 = 2,344.78 : x
  2. Step 2: Convert to fraction form
    3,088/4,259.52 = 2,344.78/x
  3. Step 3: Cross multiply
    3,088x = 4,259.52 × 2,344.78
  4. Step 4: Simplify right side
    3,088x = 9,987,637.31
  5. Step 5: Solve for x
    x = 9,987,637.31/3,088
  6. Step 6: Final answer
    x = 3,234.34

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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.