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Finding the Fourth Proportional to 3,607.67, 4,978.67 and 2,035.80

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Solution

The fourth proportional to 3,607.67, 4,978.67 and 2,035.80 is: 2,809.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.67 : 4,978.67 = 2,035.80 : x
  2. Step 2: Convert to fraction form
    3,607.67/4,978.67 = 2,035.80/x
  3. Step 3: Cross multiply
    3,607.67x = 4,978.67 × 2,035.80
  4. Step 4: Simplify right side
    3,607.67x = 10,135,566.21
  5. Step 5: Solve for x
    x = 10,135,566.21/3,607.67
  6. Step 6: Final answer
    x = 2,809.45

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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.