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Finding the Fourth Proportional to 9,290.68, 12,821.34 and 5,099.20

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Solution

The fourth proportional to 9,290.68, 12,821.34 and 5,099.20 is: 7,037.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.68 : 12,821.34 = 5,099.20 : x
  2. Step 2: Convert to fraction form
    9,290.68/12,821.34 = 5,099.20/x
  3. Step 3: Cross multiply
    9,290.68x = 12,821.34 × 5,099.20
  4. Step 4: Simplify right side
    9,290.68x = 65,378,576.93
  5. Step 5: Solve for x
    x = 65,378,576.93/9,290.68
  6. Step 6: Final answer
    x = 7,037.01

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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.