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Finding the Fourth Proportional to 4,380, 6,570 and 4,269.84

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Solution

The fourth proportional to 4,380, 6,570 and 4,269.84 is: 6,404.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,380 : 6,570 = 4,269.84 : x
  2. Step 2: Convert to fraction form
    4,380/6,570 = 4,269.84/x
  3. Step 3: Cross multiply
    4,380x = 6,570 × 4,269.84
  4. Step 4: Simplify right side
    4,380x = 28,052,848.80
  5. Step 5: Solve for x
    x = 28,052,848.80/4,380
  6. Step 6: Final answer
    x = 6,404.76

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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.