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Finding the Fourth Proportional to 12,831.76, 17,706.75 and 7,453.09

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Solution

The fourth proportional to 12,831.76, 17,706.75 and 7,453.09 is: 10,284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.76 : 17,706.75 = 7,453.09 : x
  2. Step 2: Convert to fraction form
    12,831.76/17,706.75 = 7,453.09/x
  3. Step 3: Cross multiply
    12,831.76x = 17,706.75 × 7,453.09
  4. Step 4: Simplify right side
    12,831.76x = 131,970,001.36
  5. Step 5: Solve for x
    x = 131,970,001.36/12,831.76
  6. Step 6: Final answer
    x = 10,284.64

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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.