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Finding the Fourth Proportional to 6,910.58, 10,380.05 and 6,574.55

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Solution

The fourth proportional to 6,910.58, 10,380.05 and 6,574.55 is: 9,875.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.58 : 10,380.05 = 6,574.55 : x
  2. Step 2: Convert to fraction form
    6,910.58/10,380.05 = 6,574.55/x
  3. Step 3: Cross multiply
    6,910.58x = 10,380.05 × 6,574.55
  4. Step 4: Simplify right side
    6,910.58x = 68,244,199.79
  5. Step 5: Solve for x
    x = 68,244,199.79/6,910.58
  6. Step 6: Final answer
    x = 9,875.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.