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Finding the Fourth Proportional to 14,270.34, 19,692 and 7,981.50

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Solution

The fourth proportional to 14,270.34, 19,692 and 7,981.50 is: 11,013.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,270.34 : 19,692 = 7,981.50 : x
  2. Step 2: Convert to fraction form
    14,270.34/19,692 = 7,981.50/x
  3. Step 3: Cross multiply
    14,270.34x = 19,692 × 7,981.50
  4. Step 4: Simplify right side
    14,270.34x = 157,171,698
  5. Step 5: Solve for x
    x = 157,171,698/14,270.34
  6. Step 6: Final answer
    x = 11,013.87

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