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Finding the Fourth Proportional to 7,724.88, 10,705.21 and 7,577.19

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Solution

The fourth proportional to 7,724.88, 10,705.21 and 7,577.19 is: 10,500.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724.88 : 10,705.21 = 7,577.19 : x
  2. Step 2: Convert to fraction form
    7,724.88/10,705.21 = 7,577.19/x
  3. Step 3: Cross multiply
    7,724.88x = 10,705.21 × 7,577.19
  4. Step 4: Simplify right side
    7,724.88x = 81,115,391.22
  5. Step 5: Solve for x
    x = 81,115,391.22/7,724.88
  6. Step 6: Final answer
    x = 10,500.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.