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Finding the Fourth Proportional to 12,412.40, 18,612.73 and 4,509.40

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Solution

The fourth proportional to 12,412.40, 18,612.73 and 4,509.40 is: 6,761.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.40 : 18,612.73 = 4,509.40 : x
  2. Step 2: Convert to fraction form
    12,412.40/18,612.73 = 4,509.40/x
  3. Step 3: Cross multiply
    12,412.40x = 18,612.73 × 4,509.40
  4. Step 4: Simplify right side
    12,412.40x = 83,932,227.77
  5. Step 5: Solve for x
    x = 83,932,227.77/12,412.40
  6. Step 6: Final answer
    x = 6,761.97

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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.