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Finding the Fourth Proportional to 8,676.61, 13,014.91 and 2,102.77

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Solution

The fourth proportional to 8,676.61, 13,014.91 and 2,102.77 is: 3,154.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676.61 : 13,014.91 = 2,102.77 : x
  2. Step 2: Convert to fraction form
    8,676.61/13,014.91 = 2,102.77/x
  3. Step 3: Cross multiply
    8,676.61x = 13,014.91 × 2,102.77
  4. Step 4: Simplify right side
    8,676.61x = 27,367,381.20
  5. Step 5: Solve for x
    x = 27,367,381.20/8,676.61
  6. Step 6: Final answer
    x = 3,154.16

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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.