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Finding the Fourth Proportional to 2,902.86, 3,990.54 and 2,497.61

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Solution

The fourth proportional to 2,902.86, 3,990.54 and 2,497.61 is: 3,433.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.86 : 3,990.54 = 2,497.61 : x
  2. Step 2: Convert to fraction form
    2,902.86/3,990.54 = 2,497.61/x
  3. Step 3: Cross multiply
    2,902.86x = 3,990.54 × 2,497.61
  4. Step 4: Simplify right side
    2,902.86x = 9,966,792.66
  5. Step 5: Solve for x
    x = 9,966,792.66/2,902.86
  6. Step 6: Final answer
    x = 3,433.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.