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Finding the Fourth Proportional to 19,543.89, 29,319.89 and 7,858.02

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Solution

The fourth proportional to 19,543.89, 29,319.89 and 7,858.02 is: 11,788.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,543.89 : 29,319.89 = 7,858.02 : x
  2. Step 2: Convert to fraction form
    19,543.89/29,319.89 = 7,858.02/x
  3. Step 3: Cross multiply
    19,543.89x = 29,319.89 × 7,858.02
  4. Step 4: Simplify right side
    19,543.89x = 230,396,282.02
  5. Step 5: Solve for x
    x = 230,396,282.02/19,543.89
  6. Step 6: Final answer
    x = 11,788.66

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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.