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Finding the Fourth Proportional to 5,787.50, 8,682.72 and 1,683.50

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Solution

The fourth proportional to 5,787.50, 8,682.72 and 1,683.50 is: 2,525.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.50 : 8,682.72 = 1,683.50 : x
  2. Step 2: Convert to fraction form
    5,787.50/8,682.72 = 1,683.50/x
  3. Step 3: Cross multiply
    5,787.50x = 8,682.72 × 1,683.50
  4. Step 4: Simplify right side
    5,787.50x = 14,617,359.12
  5. Step 5: Solve for x
    x = 14,617,359.12/5,787.50
  6. Step 6: Final answer
    x = 2,525.68

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1.5x scale

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.