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Finding the Fourth Proportional to 10,719.14, 14,798.09 and 8,072.87

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Solution

The fourth proportional to 10,719.14, 14,798.09 and 8,072.87 is: 11,144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,719.14 : 14,798.09 = 8,072.87 : x
  2. Step 2: Convert to fraction form
    10,719.14/14,798.09 = 8,072.87/x
  3. Step 3: Cross multiply
    10,719.14x = 14,798.09 × 8,072.87
  4. Step 4: Simplify right side
    10,719.14x = 119,463,003.01
  5. Step 5: Solve for x
    x = 119,463,003.01/10,719.14
  6. Step 6: Final answer
    x = 11,144.84

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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.