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Finding the Fourth Proportional to 7,415.94, 10,179.48 and 6,557.84

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Solution

The fourth proportional to 7,415.94, 10,179.48 and 6,557.84 is: 9,001.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415.94 : 10,179.48 = 6,557.84 : x
  2. Step 2: Convert to fraction form
    7,415.94/10,179.48 = 6,557.84/x
  3. Step 3: Cross multiply
    7,415.94x = 10,179.48 × 6,557.84
  4. Step 4: Simplify right side
    7,415.94x = 66,755,401.12
  5. Step 5: Solve for x
    x = 66,755,401.12/7,415.94
  6. Step 6: Final answer
    x = 9,001.61

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.