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Finding the Fourth Proportional to 10,365.80, 14,310.42 and 7,956.20

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Solution

The fourth proportional to 10,365.80, 14,310.42 and 7,956.20 is: 10,983.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.80 : 14,310.42 = 7,956.20 : x
  2. Step 2: Convert to fraction form
    10,365.80/14,310.42 = 7,956.20/x
  3. Step 3: Cross multiply
    10,365.80x = 14,310.42 × 7,956.20
  4. Step 4: Simplify right side
    10,365.80x = 113,856,563.60
  5. Step 5: Solve for x
    x = 113,856,563.60/10,365.80
  6. Step 6: Final answer
    x = 10,983.87

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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.