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Finding the Fourth Proportional to 5,661.25, 8,490.14 and 1,962.61

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Solution

The fourth proportional to 5,661.25, 8,490.14 and 1,962.61 is: 2,943.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.25 : 8,490.14 = 1,962.61 : x
  2. Step 2: Convert to fraction form
    5,661.25/8,490.14 = 1,962.61/x
  3. Step 3: Cross multiply
    5,661.25x = 8,490.14 × 1,962.61
  4. Step 4: Simplify right side
    5,661.25x = 16,662,833.67
  5. Step 5: Solve for x
    x = 16,662,833.67/5,661.25
  6. Step 6: Final answer
    x = 2,943.31

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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.