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Finding the Fourth Proportional to 19,106.99, 28,649.44 and 7,406.54

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Solution

The fourth proportional to 19,106.99, 28,649.44 and 7,406.54 is: 11,105.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,106.99 : 28,649.44 = 7,406.54 : x
  2. Step 2: Convert to fraction form
    19,106.99/28,649.44 = 7,406.54/x
  3. Step 3: Cross multiply
    19,106.99x = 28,649.44 × 7,406.54
  4. Step 4: Simplify right side
    19,106.99x = 212,193,043.06
  5. Step 5: Solve for x
    x = 212,193,043.06/19,106.99
  6. Step 6: Final answer
    x = 11,105.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.