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Finding the Fourth Proportional to 10,709.80, 14,781.42 and 7,173.54

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Solution

The fourth proportional to 10,709.80, 14,781.42 and 7,173.54 is: 9,900.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.80 : 14,781.42 = 7,173.54 : x
  2. Step 2: Convert to fraction form
    10,709.80/14,781.42 = 7,173.54/x
  3. Step 3: Cross multiply
    10,709.80x = 14,781.42 × 7,173.54
  4. Step 4: Simplify right side
    10,709.80x = 106,035,107.63
  5. Step 5: Solve for x
    x = 106,035,107.63/10,709.80
  6. Step 6: Final answer
    x = 9,900.76

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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.