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Finding the Fourth Proportional to 10,967.78, 16,429.80 and 9,327.80

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Solution

The fourth proportional to 10,967.78, 16,429.80 and 9,327.80 is: 13,973.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.78 : 16,429.80 = 9,327.80 : x
  2. Step 2: Convert to fraction form
    10,967.78/16,429.80 = 9,327.80/x
  3. Step 3: Cross multiply
    10,967.78x = 16,429.80 × 9,327.80
  4. Step 4: Simplify right side
    10,967.78x = 153,253,888.44
  5. Step 5: Solve for x
    x = 153,253,888.44/10,967.78
  6. Step 6: Final answer
    x = 13,973.10

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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.