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Finding the Fourth Proportional to 10,420.35, 14,379.95 and 5,944.17

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Solution

The fourth proportional to 10,420.35, 14,379.95 and 5,944.17 is: 8,202.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.35 : 14,379.95 = 5,944.17 : x
  2. Step 2: Convert to fraction form
    10,420.35/14,379.95 = 5,944.17/x
  3. Step 3: Cross multiply
    10,420.35x = 14,379.95 × 5,944.17
  4. Step 4: Simplify right side
    10,420.35x = 85,476,837.67
  5. Step 5: Solve for x
    x = 85,476,837.67/10,420.35
  6. Step 6: Final answer
    x = 8,202.88

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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.