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Finding the Fourth Proportional to 9,889.62, 13,662.50 and 6,494.68

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Solution

The fourth proportional to 9,889.62, 13,662.50 and 6,494.68 is: 8,972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.62 : 13,662.50 = 6,494.68 : x
  2. Step 2: Convert to fraction form
    9,889.62/13,662.50 = 6,494.68/x
  3. Step 3: Cross multiply
    9,889.62x = 13,662.50 × 6,494.68
  4. Step 4: Simplify right side
    9,889.62x = 88,733,581.74
  5. Step 5: Solve for x
    x = 88,733,581.74/9,889.62
  6. Step 6: Final answer
    x = 8,972.40

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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.