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Finding the Fourth Proportional to 8,687.88, 11,989.32 and 4,709.00

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Solution

The fourth proportional to 8,687.88, 11,989.32 and 4,709.00 is: 6,498.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,687.88 : 11,989.32 = 4,709.00 : x
  2. Step 2: Convert to fraction form
    8,687.88/11,989.32 = 4,709.00/x
  3. Step 3: Cross multiply
    8,687.88x = 11,989.32 × 4,709.00
  4. Step 4: Simplify right side
    8,687.88x = 56,457,647.93
  5. Step 5: Solve for x
    x = 56,457,647.93/8,687.88
  6. Step 6: Final answer
    x = 6,498.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.