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Finding the Fourth Proportional to 9,912.40, 14,869.14 and 7,131.40

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Solution

The fourth proportional to 9,912.40, 14,869.14 and 7,131.40 is: 10,697.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.40 : 14,869.14 = 7,131.40 : x
  2. Step 2: Convert to fraction form
    9,912.40/14,869.14 = 7,131.40/x
  3. Step 3: Cross multiply
    9,912.40x = 14,869.14 × 7,131.40
  4. Step 4: Simplify right side
    9,912.40x = 106,037,785.00
  5. Step 5: Solve for x
    x = 106,037,785.00/9,912.40
  6. Step 6: Final answer
    x = 10,697.49

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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.