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Finding the Fourth Proportional to 7,993.05, 12,049.42 and 7,457.84

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Solution

The fourth proportional to 7,993.05, 12,049.42 and 7,457.84 is: 11,242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,993.05 : 12,049.42 = 7,457.84 : x
  2. Step 2: Convert to fraction form
    7,993.05/12,049.42 = 7,457.84/x
  3. Step 3: Cross multiply
    7,993.05x = 12,049.42 × 7,457.84
  4. Step 4: Simplify right side
    7,993.05x = 89,862,646.45
  5. Step 5: Solve for x
    x = 89,862,646.45/7,993.05
  6. Step 6: Final answer
    x = 11,242.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.