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Finding the Fourth Proportional to 8,509.72, 12,764.58 and 2,269.40

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Solution

The fourth proportional to 8,509.72, 12,764.58 and 2,269.40 is: 3,404.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.72 : 12,764.58 = 2,269.40 : x
  2. Step 2: Convert to fraction form
    8,509.72/12,764.58 = 2,269.40/x
  3. Step 3: Cross multiply
    8,509.72x = 12,764.58 × 2,269.40
  4. Step 4: Simplify right side
    8,509.72x = 28,967,937.85
  5. Step 5: Solve for x
    x = 28,967,937.85/8,509.72
  6. Step 6: Final answer
    x = 3,404.10

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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.