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Finding the Fourth Proportional to 19,887.39, 29,823.50 and 8,788.02

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Solution

The fourth proportional to 19,887.39, 29,823.50 and 8,788.02 is: 13,178.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,887.39 : 29,823.50 = 8,788.02 : x
  2. Step 2: Convert to fraction form
    19,887.39/29,823.50 = 8,788.02/x
  3. Step 3: Cross multiply
    19,887.39x = 29,823.50 × 8,788.02
  4. Step 4: Simplify right side
    19,887.39x = 262,089,514.47
  5. Step 5: Solve for x
    x = 262,089,514.47/19,887.39
  6. Step 6: Final answer
    x = 13,178.68

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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.