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Finding the Fourth Proportional to 3,607.71, 4,978.47 and 2,014.54

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Solution

The fourth proportional to 3,607.71, 4,978.47 and 2,014.54 is: 2,779.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.71 : 4,978.47 = 2,014.54 : x
  2. Step 2: Convert to fraction form
    3,607.71/4,978.47 = 2,014.54/x
  3. Step 3: Cross multiply
    3,607.71x = 4,978.47 × 2,014.54
  4. Step 4: Simplify right side
    3,607.71x = 10,029,326.95
  5. Step 5: Solve for x
    x = 10,029,326.95/3,607.71
  6. Step 6: Final answer
    x = 2,779.97

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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.