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Finding the Fourth Proportional to 6,266.82, 8,640 and 5,205.54

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Solution

The fourth proportional to 6,266.82, 8,640 and 5,205.54 is: 7,176.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.82 : 8,640 = 5,205.54 : x
  2. Step 2: Convert to fraction form
    6,266.82/8,640 = 5,205.54/x
  3. Step 3: Cross multiply
    6,266.82x = 8,640 × 5,205.54
  4. Step 4: Simplify right side
    6,266.82x = 44,975,865.60
  5. Step 5: Solve for x
    x = 44,975,865.60/6,266.82
  6. Step 6: Final answer
    x = 7,176.82

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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.