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Finding the Fourth Proportional to 3,865.62, 5,328.74 and 3,024.86

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Solution

The fourth proportional to 3,865.62, 5,328.74 and 3,024.86 is: 4,169.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.62 : 5,328.74 = 3,024.86 : x
  2. Step 2: Convert to fraction form
    3,865.62/5,328.74 = 3,024.86/x
  3. Step 3: Cross multiply
    3,865.62x = 5,328.74 × 3,024.86
  4. Step 4: Simplify right side
    3,865.62x = 16,118,690.67
  5. Step 5: Solve for x
    x = 16,118,690.67/3,865.62
  6. Step 6: Final answer
    x = 4,169.76

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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.