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Finding the Fourth Proportional to 8,689, 13,024.86 and 4,063.72

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Solution

The fourth proportional to 8,689, 13,024.86 and 4,063.72 is: 6,091.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689 : 13,024.86 = 4,063.72 : x
  2. Step 2: Convert to fraction form
    8,689/13,024.86 = 4,063.72/x
  3. Step 3: Cross multiply
    8,689x = 13,024.86 × 4,063.72
  4. Step 4: Simplify right side
    8,689x = 52,929,384.08
  5. Step 5: Solve for x
    x = 52,929,384.08/8,689
  6. Step 6: Final answer
    x = 6,091.54

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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.