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Finding the Fourth Proportional to 6,503.20, 8,972 and 4,144.80

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Solution

The fourth proportional to 6,503.20, 8,972 and 4,144.80 is: 5,718.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.20 : 8,972 = 4,144.80 : x
  2. Step 2: Convert to fraction form
    6,503.20/8,972 = 4,144.80/x
  3. Step 3: Cross multiply
    6,503.20x = 8,972 × 4,144.80
  4. Step 4: Simplify right side
    6,503.20x = 37,187,145.60
  5. Step 5: Solve for x
    x = 37,187,145.60/6,503.20
  6. Step 6: Final answer
    x = 5,718.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.