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Finding the Fourth Proportional to 12,779.71, 19,169.76 and 3,895.22

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Solution

The fourth proportional to 12,779.71, 19,169.76 and 3,895.22 is: 5,842.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,779.71 : 19,169.76 = 3,895.22 : x
  2. Step 2: Convert to fraction form
    12,779.71/19,169.76 = 3,895.22/x
  3. Step 3: Cross multiply
    12,779.71x = 19,169.76 × 3,895.22
  4. Step 4: Simplify right side
    12,779.71x = 74,670,495.08
  5. Step 5: Solve for x
    x = 74,670,495.08/12,779.71
  6. Step 6: Final answer
    x = 5,842.90

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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.