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Finding the Fourth Proportional to 7,808.02, 11,715.13 and 3,422.40

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Solution

The fourth proportional to 7,808.02, 11,715.13 and 3,422.40 is: 5,134.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.02 : 11,715.13 = 3,422.40 : x
  2. Step 2: Convert to fraction form
    7,808.02/11,715.13 = 3,422.40/x
  3. Step 3: Cross multiply
    7,808.02x = 11,715.13 × 3,422.40
  4. Step 4: Simplify right side
    7,808.02x = 40,093,887.16
  5. Step 5: Solve for x
    x = 40,093,887.16/7,808.02
  6. Step 6: Final answer
    x = 5,134.96

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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.