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Finding the Fourth Proportional to 5,342.40, 8,014.86 and 1,644.55

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Solution

The fourth proportional to 5,342.40, 8,014.86 and 1,644.55 is: 2,467.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.40 : 8,014.86 = 1,644.55 : x
  2. Step 2: Convert to fraction form
    5,342.40/8,014.86 = 1,644.55/x
  3. Step 3: Cross multiply
    5,342.40x = 8,014.86 × 1,644.55
  4. Step 4: Simplify right side
    5,342.40x = 13,180,817.98
  5. Step 5: Solve for x
    x = 13,180,817.98/5,342.40
  6. Step 6: Final answer
    x = 2,467.21

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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.