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Finding the Fourth Proportional to 9,945.72, 13,718.97 and 6,404.40

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Solution

The fourth proportional to 9,945.72, 13,718.97 and 6,404.40 is: 8,834.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,945.72 : 13,718.97 = 6,404.40 : x
  2. Step 2: Convert to fraction form
    9,945.72/13,718.97 = 6,404.40/x
  3. Step 3: Cross multiply
    9,945.72x = 13,718.97 × 6,404.40
  4. Step 4: Simplify right side
    9,945.72x = 87,861,771.47
  5. Step 5: Solve for x
    x = 87,861,771.47/9,945.72
  6. Step 6: Final answer
    x = 8,834.13

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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.