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Finding the Fourth Proportional to 14,407, 19,883.42 and 8,120.52

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Solution

The fourth proportional to 14,407, 19,883.42 and 8,120.52 is: 11,207.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407 : 19,883.42 = 8,120.52 : x
  2. Step 2: Convert to fraction form
    14,407/19,883.42 = 8,120.52/x
  3. Step 3: Cross multiply
    14,407x = 19,883.42 × 8,120.52
  4. Step 4: Simplify right side
    14,407x = 161,463,709.78
  5. Step 5: Solve for x
    x = 161,463,709.78/14,407
  6. Step 6: Final answer
    x = 11,207.31

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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.