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Finding the Fourth Proportional to 5,483.82, 8,228.12 and 1,787.21

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Solution

The fourth proportional to 5,483.82, 8,228.12 and 1,787.21 is: 2,681.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,483.82 : 8,228.12 = 1,787.21 : x
  2. Step 2: Convert to fraction form
    5,483.82/8,228.12 = 1,787.21/x
  3. Step 3: Cross multiply
    5,483.82x = 8,228.12 × 1,787.21
  4. Step 4: Simplify right side
    5,483.82x = 14,705,328.27
  5. Step 5: Solve for x
    x = 14,705,328.27/5,483.82
  6. Step 6: Final answer
    x = 2,681.58

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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.