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Finding the Fourth Proportional to 12,716.50, 19,080 and 6,866.22

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Solution

The fourth proportional to 12,716.50, 19,080 and 6,866.22 is: 10,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.50 : 19,080 = 6,866.22 : x
  2. Step 2: Convert to fraction form
    12,716.50/19,080 = 6,866.22/x
  3. Step 3: Cross multiply
    12,716.50x = 19,080 × 6,866.22
  4. Step 4: Simplify right side
    12,716.50x = 131,007,477.60
  5. Step 5: Solve for x
    x = 131,007,477.60/12,716.50
  6. Step 6: Final answer
    x = 10,302.16

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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.