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Finding the Fourth Proportional to 30,978.68, 42,653.45 and 27,340.97

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Solution

The fourth proportional to 30,978.68, 42,653.45 and 27,340.97 is: 37,644.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,978.68 : 42,653.45 = 27,340.97 : x
  2. Step 2: Convert to fraction form
    30,978.68/42,653.45 = 27,340.97/x
  3. Step 3: Cross multiply
    30,978.68x = 42,653.45 × 27,340.97
  4. Step 4: Simplify right side
    30,978.68x = 1,166,186,551.93
  5. Step 5: Solve for x
    x = 1,166,186,551.93/30,978.68
  6. Step 6: Final answer
    x = 37,644.82

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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.