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Finding the Fourth Proportional to 14,410.78, 19,887.84 and 8,123.14

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Solution

The fourth proportional to 14,410.78, 19,887.84 and 8,123.14 is: 11,210.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410.78 : 19,887.84 = 8,123.14 : x
  2. Step 2: Convert to fraction form
    14,410.78/19,887.84 = 8,123.14/x
  3. Step 3: Cross multiply
    14,410.78x = 19,887.84 × 8,123.14
  4. Step 4: Simplify right side
    14,410.78x = 161,551,708.62
  5. Step 5: Solve for x
    x = 161,551,708.62/14,410.78
  6. Step 6: Final answer
    x = 11,210.48

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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.