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Finding the Fourth Proportional to 13,051.80, 19,561.14 and 6,111

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Solution

The fourth proportional to 13,051.80, 19,561.14 and 6,111 is: 9,158.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,051.80 : 19,561.14 = 6,111 : x
  2. Step 2: Convert to fraction form
    13,051.80/19,561.14 = 6,111/x
  3. Step 3: Cross multiply
    13,051.80x = 19,561.14 × 6,111
  4. Step 4: Simplify right side
    13,051.80x = 119,538,126.54
  5. Step 5: Solve for x
    x = 119,538,126.54/13,051.80
  6. Step 6: Final answer
    x = 9,158.75

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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.