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Finding the Fourth Proportional to 18,643.94, 27,970.78 and 6,957.26

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Solution

The fourth proportional to 18,643.94, 27,970.78 and 6,957.26 is: 10,437.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,643.94 : 27,970.78 = 6,957.26 : x
  2. Step 2: Convert to fraction form
    18,643.94/27,970.78 = 6,957.26/x
  3. Step 3: Cross multiply
    18,643.94x = 27,970.78 × 6,957.26
  4. Step 4: Simplify right side
    18,643.94x = 194,599,988.86
  5. Step 5: Solve for x
    x = 194,599,988.86/18,643.94
  6. Step 6: Final answer
    x = 10,437.71

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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.