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Finding the Fourth Proportional to 9,969.50, 14,944.80 and 6,462.20

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Solution

The fourth proportional to 9,969.50, 14,944.80 and 6,462.20 is: 9,687.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.50 : 14,944.80 = 6,462.20 : x
  2. Step 2: Convert to fraction form
    9,969.50/14,944.80 = 6,462.20/x
  3. Step 3: Cross multiply
    9,969.50x = 14,944.80 × 6,462.20
  4. Step 4: Simplify right side
    9,969.50x = 96,576,286.56
  5. Step 5: Solve for x
    x = 96,576,286.56/9,969.50
  6. Step 6: Final answer
    x = 9,687.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.