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Finding the Fourth Proportional to 9,789, 13,520.03 and 6,446.75

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Solution

The fourth proportional to 9,789, 13,520.03 and 6,446.75 is: 8,903.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789 : 13,520.03 = 6,446.75 : x
  2. Step 2: Convert to fraction form
    9,789/13,520.03 = 6,446.75/x
  3. Step 3: Cross multiply
    9,789x = 13,520.03 × 6,446.75
  4. Step 4: Simplify right side
    9,789x = 87,160,253.40
  5. Step 5: Solve for x
    x = 87,160,253.40/9,789
  6. Step 6: Final answer
    x = 8,903.90

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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.