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Finding the Fourth Proportional to 10,221.54, 14,106 and 5,745.71

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Solution

The fourth proportional to 10,221.54, 14,106 and 5,745.71 is: 7,929.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.54 : 14,106 = 5,745.71 : x
  2. Step 2: Convert to fraction form
    10,221.54/14,106 = 5,745.71/x
  3. Step 3: Cross multiply
    10,221.54x = 14,106 × 5,745.71
  4. Step 4: Simplify right side
    10,221.54x = 81,048,914.73
  5. Step 5: Solve for x
    x = 81,048,914.73/10,221.54
  6. Step 6: Final answer
    x = 7,929.23

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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.