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Finding the Fourth Proportional to 5,683.82, 8,526.87 and 1,787.31

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Solution

The fourth proportional to 5,683.82, 8,526.87 and 1,787.31 is: 2,681.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.82 : 8,526.87 = 1,787.31 : x
  2. Step 2: Convert to fraction form
    5,683.82/8,526.87 = 1,787.31/x
  3. Step 3: Cross multiply
    5,683.82x = 8,526.87 × 1,787.31
  4. Step 4: Simplify right side
    5,683.82x = 15,240,160.02
  5. Step 5: Solve for x
    x = 15,240,160.02/5,683.82
  6. Step 6: Final answer
    x = 2,681.33

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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.