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Finding the Fourth Proportional to 2,809, 3,877.86 and 1,762.12

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Solution

The fourth proportional to 2,809, 3,877.86 and 1,762.12 is: 2,432.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809 : 3,877.86 = 1,762.12 : x
  2. Step 2: Convert to fraction form
    2,809/3,877.86 = 1,762.12/x
  3. Step 3: Cross multiply
    2,809x = 3,877.86 × 1,762.12
  4. Step 4: Simplify right side
    2,809x = 6,833,254.66
  5. Step 5: Solve for x
    x = 6,833,254.66/2,809
  6. Step 6: Final answer
    x = 2,432.63

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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.