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Finding the Fourth Proportional to 8,360, 11,529.43 and 5,172.79

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Solution

The fourth proportional to 8,360, 11,529.43 and 5,172.79 is: 7,133.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,360 : 11,529.43 = 5,172.79 : x
  2. Step 2: Convert to fraction form
    8,360/11,529.43 = 5,172.79/x
  3. Step 3: Cross multiply
    8,360x = 11,529.43 × 5,172.79
  4. Step 4: Simplify right side
    8,360x = 59,639,320.21
  5. Step 5: Solve for x
    x = 59,639,320.21/8,360
  6. Step 6: Final answer
    x = 7,133.89

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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.