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Finding the Fourth Proportional to 14,161.68, 19,543 and 7,874

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Solution

The fourth proportional to 14,161.68, 19,543 and 7,874 is: 10,866.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,161.68 : 19,543 = 7,874 : x
  2. Step 2: Convert to fraction form
    14,161.68/19,543 = 7,874/x
  3. Step 3: Cross multiply
    14,161.68x = 19,543 × 7,874
  4. Step 4: Simplify right side
    14,161.68x = 153,881,582
  5. Step 5: Solve for x
    x = 153,881,582/14,161.68
  6. Step 6: Final answer
    x = 10,866.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.