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Finding the Fourth Proportional to 10,520.14, 14,512.62 and 9,769.90

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Solution

The fourth proportional to 10,520.14, 14,512.62 and 9,769.90 is: 13,477.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.14 : 14,512.62 = 9,769.90 : x
  2. Step 2: Convert to fraction form
    10,520.14/14,512.62 = 9,769.90/x
  3. Step 3: Cross multiply
    10,520.14x = 14,512.62 × 9,769.90
  4. Step 4: Simplify right side
    10,520.14x = 141,786,846.14
  5. Step 5: Solve for x
    x = 141,786,846.14/10,520.14
  6. Step 6: Final answer
    x = 13,477.66

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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.