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Finding the Fourth Proportional to 19,917.80, 29,895.18 and 10,064

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Solution

The fourth proportional to 19,917.80, 29,895.18 and 10,064 is: 15,105.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,917.80 : 29,895.18 = 10,064 : x
  2. Step 2: Convert to fraction form
    19,917.80/29,895.18 = 10,064/x
  3. Step 3: Cross multiply
    19,917.80x = 29,895.18 × 10,064
  4. Step 4: Simplify right side
    19,917.80x = 300,865,091.52
  5. Step 5: Solve for x
    x = 300,865,091.52/19,917.80
  6. Step 6: Final answer
    x = 15,105.34

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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.