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Finding the Fourth Proportional to 4,389.74, 6,584.24 and 1,311.74

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Solution

The fourth proportional to 4,389.74, 6,584.24 and 1,311.74 is: 1,967.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,389.74 : 6,584.24 = 1,311.74 : x
  2. Step 2: Convert to fraction form
    4,389.74/6,584.24 = 1,311.74/x
  3. Step 3: Cross multiply
    4,389.74x = 6,584.24 × 1,311.74
  4. Step 4: Simplify right side
    4,389.74x = 8,636,771.50
  5. Step 5: Solve for x
    x = 8,636,771.50/4,389.74
  6. Step 6: Final answer
    x = 1,967.49

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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.