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Finding the Fourth Proportional to 7,900.97, 11,825.73 and 5,820.15

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Solution

The fourth proportional to 7,900.97, 11,825.73 and 5,820.15 is: 8,711.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900.97 : 11,825.73 = 5,820.15 : x
  2. Step 2: Convert to fraction form
    7,900.97/11,825.73 = 5,820.15/x
  3. Step 3: Cross multiply
    7,900.97x = 11,825.73 × 5,820.15
  4. Step 4: Simplify right side
    7,900.97x = 68,827,522.46
  5. Step 5: Solve for x
    x = 68,827,522.46/7,900.97
  6. Step 6: Final answer
    x = 8,711.28

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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.