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Finding the Fourth Proportional to 10,378.76, 14,222.97 and 9,382.37

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Solution

The fourth proportional to 10,378.76, 14,222.97 and 9,382.37 is: 12,857.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.76 : 14,222.97 = 9,382.37 : x
  2. Step 2: Convert to fraction form
    10,378.76/14,222.97 = 9,382.37/x
  3. Step 3: Cross multiply
    10,378.76x = 14,222.97 × 9,382.37
  4. Step 4: Simplify right side
    10,378.76x = 133,445,095.92
  5. Step 5: Solve for x
    x = 133,445,095.92/10,378.76
  6. Step 6: Final answer
    x = 12,857.52

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.