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Finding the Fourth Proportional to 10,409.38, 14,364.64 and 5,693.56

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Solution

The fourth proportional to 10,409.38, 14,364.64 and 5,693.56 is: 7,856.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.38 : 14,364.64 = 5,693.56 : x
  2. Step 2: Convert to fraction form
    10,409.38/14,364.64 = 5,693.56/x
  3. Step 3: Cross multiply
    10,409.38x = 14,364.64 × 5,693.56
  4. Step 4: Simplify right side
    10,409.38x = 81,785,939.72
  5. Step 5: Solve for x
    x = 81,785,939.72/10,409.38
  6. Step 6: Final answer
    x = 7,856.95

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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.