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Finding the Fourth Proportional to 11,356.50, 15,671.98 and 6,388.50

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Solution

The fourth proportional to 11,356.50, 15,671.98 and 6,388.50 is: 8,816.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,356.50 : 15,671.98 = 6,388.50 : x
  2. Step 2: Convert to fraction form
    11,356.50/15,671.98 = 6,388.50/x
  3. Step 3: Cross multiply
    11,356.50x = 15,671.98 × 6,388.50
  4. Step 4: Simplify right side
    11,356.50x = 100,120,444.23
  5. Step 5: Solve for x
    x = 100,120,444.23/11,356.50
  6. Step 6: Final answer
    x = 8,816.14

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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.