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Finding the Fourth Proportional to 5,845.64, 8,769.81 and 1,685.71

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Solution

The fourth proportional to 5,845.64, 8,769.81 and 1,685.71 is: 2,528.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845.64 : 8,769.81 = 1,685.71 : x
  2. Step 2: Convert to fraction form
    5,845.64/8,769.81 = 1,685.71/x
  3. Step 3: Cross multiply
    5,845.64x = 8,769.81 × 1,685.71
  4. Step 4: Simplify right side
    5,845.64x = 14,783,312.57
  5. Step 5: Solve for x
    x = 14,783,312.57/5,845.64
  6. Step 6: Final answer
    x = 2,528.95

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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.