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Finding the Fourth Proportional to 8,509.85, 12,770.54 and 2,963.16

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Solution

The fourth proportional to 8,509.85, 12,770.54 and 2,963.16 is: 4,446.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.85 : 12,770.54 = 2,963.16 : x
  2. Step 2: Convert to fraction form
    8,509.85/12,770.54 = 2,963.16/x
  3. Step 3: Cross multiply
    8,509.85x = 12,770.54 × 2,963.16
  4. Step 4: Simplify right side
    8,509.85x = 37,841,138.49
  5. Step 5: Solve for x
    x = 37,841,138.49/8,509.85
  6. Step 6: Final answer
    x = 4,446.75

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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.