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Finding the Fourth Proportional to 6,178.76, 8,527.98 and 5,680.61

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Solution

The fourth proportional to 6,178.76, 8,527.98 and 5,680.61 is: 7,840.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.76 : 8,527.98 = 5,680.61 : x
  2. Step 2: Convert to fraction form
    6,178.76/8,527.98 = 5,680.61/x
  3. Step 3: Cross multiply
    6,178.76x = 8,527.98 × 5,680.61
  4. Step 4: Simplify right side
    6,178.76x = 48,444,174.65
  5. Step 5: Solve for x
    x = 48,444,174.65/6,178.76
  6. Step 6: Final answer
    x = 7,840.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.