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Finding the Fourth Proportional to 6,541.74, 9,811.13 and 1,861.65

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Solution

The fourth proportional to 6,541.74, 9,811.13 and 1,861.65 is: 2,792.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.74 : 9,811.13 = 1,861.65 : x
  2. Step 2: Convert to fraction form
    6,541.74/9,811.13 = 1,861.65/x
  3. Step 3: Cross multiply
    6,541.74x = 9,811.13 × 1,861.65
  4. Step 4: Simplify right side
    6,541.74x = 18,264,880.86
  5. Step 5: Solve for x
    x = 18,264,880.86/6,541.74
  6. Step 6: Final answer
    x = 2,792.05

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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.