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Finding the Fourth Proportional to 9,516.79, 13,133.19 and 5,209.82

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Solution

The fourth proportional to 9,516.79, 13,133.19 and 5,209.82 is: 7,189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,516.79 : 13,133.19 = 5,209.82 : x
  2. Step 2: Convert to fraction form
    9,516.79/13,133.19 = 5,209.82/x
  3. Step 3: Cross multiply
    9,516.79x = 13,133.19 × 5,209.82
  4. Step 4: Simplify right side
    9,516.79x = 68,421,529.74
  5. Step 5: Solve for x
    x = 68,421,529.74/9,516.79
  6. Step 6: Final answer
    x = 7,189.56

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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.