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Finding the Fourth Proportional to 3,886.47, 5,811.98 and 2,899.98

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Solution

The fourth proportional to 3,886.47, 5,811.98 and 2,899.98 is: 4,336.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.47 : 5,811.98 = 2,899.98 : x
  2. Step 2: Convert to fraction form
    3,886.47/5,811.98 = 2,899.98/x
  3. Step 3: Cross multiply
    3,886.47x = 5,811.98 × 2,899.98
  4. Step 4: Simplify right side
    3,886.47x = 16,854,611.26
  5. Step 5: Solve for x
    x = 16,854,611.26/3,886.47
  6. Step 6: Final answer
    x = 4,336.74

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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.