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Finding the Fourth Proportional to 5,677.83, 7,828.36 and 3,657.82

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Solution

The fourth proportional to 5,677.83, 7,828.36 and 3,657.82 is: 5,043.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.83 : 7,828.36 = 3,657.82 : x
  2. Step 2: Convert to fraction form
    5,677.83/7,828.36 = 3,657.82/x
  3. Step 3: Cross multiply
    5,677.83x = 7,828.36 × 3,657.82
  4. Step 4: Simplify right side
    5,677.83x = 28,634,731.78
  5. Step 5: Solve for x
    x = 28,634,731.78/5,677.83
  6. Step 6: Final answer
    x = 5,043.25

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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.