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Finding the Fourth Proportional to 8,665.37, 12,994.80 and 6,838.01

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Solution

The fourth proportional to 8,665.37, 12,994.80 and 6,838.01 is: 10,254.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,665.37 : 12,994.80 = 6,838.01 : x
  2. Step 2: Convert to fraction form
    8,665.37/12,994.80 = 6,838.01/x
  3. Step 3: Cross multiply
    8,665.37x = 12,994.80 × 6,838.01
  4. Step 4: Simplify right side
    8,665.37x = 88,858,572.35
  5. Step 5: Solve for x
    x = 88,858,572.35/8,665.37
  6. Step 6: Final answer
    x = 10,254.45

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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.