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Finding the Fourth Proportional to 14,221.70, 19,625.88 and 7,761.38

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Solution

The fourth proportional to 14,221.70, 19,625.88 and 7,761.38 is: 10,710.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,221.70 : 19,625.88 = 7,761.38 : x
  2. Step 2: Convert to fraction form
    14,221.70/19,625.88 = 7,761.38/x
  3. Step 3: Cross multiply
    14,221.70x = 19,625.88 × 7,761.38
  4. Step 4: Simplify right side
    14,221.70x = 152,323,912.51
  5. Step 5: Solve for x
    x = 152,323,912.51/14,221.70
  6. Step 6: Final answer
    x = 10,710.67

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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.