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Finding the Fourth Proportional to 10,769, 16,151.68 and 2,977.84

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Solution

The fourth proportional to 10,769, 16,151.68 and 2,977.84 is: 4,466.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769 : 16,151.68 = 2,977.84 : x
  2. Step 2: Convert to fraction form
    10,769/16,151.68 = 2,977.84/x
  3. Step 3: Cross multiply
    10,769x = 16,151.68 × 2,977.84
  4. Step 4: Simplify right side
    10,769x = 48,097,118.77
  5. Step 5: Solve for x
    x = 48,097,118.77/10,769
  6. Step 6: Final answer
    x = 4,466.26

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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.