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Finding the Fourth Proportional to 13,959.58, 19,264 and 7,671.82

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Solution

The fourth proportional to 13,959.58, 19,264 and 7,671.82 is: 10,586.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,959.58 : 19,264 = 7,671.82 : x
  2. Step 2: Convert to fraction form
    13,959.58/19,264 = 7,671.82/x
  3. Step 3: Cross multiply
    13,959.58x = 19,264 × 7,671.82
  4. Step 4: Simplify right side
    13,959.58x = 147,789,940.48
  5. Step 5: Solve for x
    x = 147,789,940.48/13,959.58
  6. Step 6: Final answer
    x = 10,586.99

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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.