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Finding the Fourth Proportional to 18,570.21, 27,848.82 and 7,474.02

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Solution

The fourth proportional to 18,570.21, 27,848.82 and 7,474.02 is: 11,208.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,570.21 : 27,848.82 = 7,474.02 : x
  2. Step 2: Convert to fraction form
    18,570.21/27,848.82 = 7,474.02/x
  3. Step 3: Cross multiply
    18,570.21x = 27,848.82 × 7,474.02
  4. Step 4: Simplify right side
    18,570.21x = 208,142,637.66
  5. Step 5: Solve for x
    x = 208,142,637.66/18,570.21
  6. Step 6: Final answer
    x = 11,208.42

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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.