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Finding the Fourth Proportional to 8,697.87, 13,046.76 and 2,124.09

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Solution

The fourth proportional to 8,697.87, 13,046.76 and 2,124.09 is: 3,186.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.87 : 13,046.76 = 2,124.09 : x
  2. Step 2: Convert to fraction form
    8,697.87/13,046.76 = 2,124.09/x
  3. Step 3: Cross multiply
    8,697.87x = 13,046.76 × 2,124.09
  4. Step 4: Simplify right side
    8,697.87x = 27,712,492.45
  5. Step 5: Solve for x
    x = 27,712,492.45/8,697.87
  6. Step 6: Final answer
    x = 3,186.12

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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.