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Finding the Fourth Proportional to 22,412.54, 30,929.31 and 12,340.96

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Solution

The fourth proportional to 22,412.54, 30,929.31 and 12,340.96 is: 17,030.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,412.54 : 30,929.31 = 12,340.96 : x
  2. Step 2: Convert to fraction form
    22,412.54/30,929.31 = 12,340.96/x
  3. Step 3: Cross multiply
    22,412.54x = 30,929.31 × 12,340.96
  4. Step 4: Simplify right side
    22,412.54x = 381,697,261.65
  5. Step 5: Solve for x
    x = 381,697,261.65/22,412.54
  6. Step 6: Final answer
    x = 17,030.52

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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.