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Finding the Fourth Proportional to 12,253.95, 18,351.31 and 6,972.95

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Solution

The fourth proportional to 12,253.95, 18,351.31 and 6,972.95 is: 10,442.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,253.95 : 18,351.31 = 6,972.95 : x
  2. Step 2: Convert to fraction form
    12,253.95/18,351.31 = 6,972.95/x
  3. Step 3: Cross multiply
    12,253.95x = 18,351.31 × 6,972.95
  4. Step 4: Simplify right side
    12,253.95x = 127,962,795.51
  5. Step 5: Solve for x
    x = 127,962,795.51/12,253.95
  6. Step 6: Final answer
    x = 10,442.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.