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Finding the Fourth Proportional to 19,866, 29,798.99 and 5,074.38

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Solution

The fourth proportional to 19,866, 29,798.99 and 5,074.38 is: 7,611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,866 : 29,798.99 = 5,074.38 : x
  2. Step 2: Convert to fraction form
    19,866/29,798.99 = 5,074.38/x
  3. Step 3: Cross multiply
    19,866x = 29,798.99 × 5,074.38
  4. Step 4: Simplify right side
    19,866x = 151,211,373.50
  5. Step 5: Solve for x
    x = 151,211,373.50/19,866
  6. Step 6: Final answer
    x = 7,611.57

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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.