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Finding the Fourth Proportional to 14,269.91, 19,692.45 and 7,982.28

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Solution

The fourth proportional to 14,269.91, 19,692.45 and 7,982.28 is: 11,015.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,269.91 : 19,692.45 = 7,982.28 : x
  2. Step 2: Convert to fraction form
    14,269.91/19,692.45 = 7,982.28/x
  3. Step 3: Cross multiply
    14,269.91x = 19,692.45 × 7,982.28
  4. Step 4: Simplify right side
    14,269.91x = 157,190,649.79
  5. Step 5: Solve for x
    x = 157,190,649.79/14,269.91
  6. Step 6: Final answer
    x = 11,015.54

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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.