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Finding the Fourth Proportional to 3,092.76, 4,643.46 and 2,474.48

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Solution

The fourth proportional to 3,092.76, 4,643.46 and 2,474.48 is: 3,715.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.76 : 4,643.46 = 2,474.48 : x
  2. Step 2: Convert to fraction form
    3,092.76/4,643.46 = 2,474.48/x
  3. Step 3: Cross multiply
    3,092.76x = 4,643.46 × 2,474.48
  4. Step 4: Simplify right side
    3,092.76x = 11,490,160.51
  5. Step 5: Solve for x
    x = 11,490,160.51/3,092.76
  6. Step 6: Final answer
    x = 3,715.18

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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.