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Finding the Fourth Proportional to 9,789.88, 13,509.82 and 5,313.64

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Solution

The fourth proportional to 9,789.88, 13,509.82 and 5,313.64 is: 7,332.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.88 : 13,509.82 = 5,313.64 : x
  2. Step 2: Convert to fraction form
    9,789.88/13,509.82 = 5,313.64/x
  3. Step 3: Cross multiply
    9,789.88x = 13,509.82 × 5,313.64
  4. Step 4: Simplify right side
    9,789.88x = 71,786,319.94
  5. Step 5: Solve for x
    x = 71,786,319.94/9,789.88
  6. Step 6: Final answer
    x = 7,332.71

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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.