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Finding the Fourth Proportional to 3,305.61, 4,953.96 and 1,987.74

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Solution

The fourth proportional to 3,305.61, 4,953.96 and 1,987.74 is: 2,978.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.61 : 4,953.96 = 1,987.74 : x
  2. Step 2: Convert to fraction form
    3,305.61/4,953.96 = 1,987.74/x
  3. Step 3: Cross multiply
    3,305.61x = 4,953.96 × 1,987.74
  4. Step 4: Simplify right side
    3,305.61x = 9,847,184.45
  5. Step 5: Solve for x
    x = 9,847,184.45/3,305.61
  6. Step 6: Final answer
    x = 2,978.93

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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.