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Finding the Fourth Proportional to 10,269, 14,171.26 and 5,553.32

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Solution

The fourth proportional to 10,269, 14,171.26 and 5,553.32 is: 7,663.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269 : 14,171.26 = 5,553.32 : x
  2. Step 2: Convert to fraction form
    10,269/14,171.26 = 5,553.32/x
  3. Step 3: Cross multiply
    10,269x = 14,171.26 × 5,553.32
  4. Step 4: Simplify right side
    10,269x = 78,697,541.58
  5. Step 5: Solve for x
    x = 78,697,541.58/10,269
  6. Step 6: Final answer
    x = 7,663.60

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1.5x scale

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.