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Finding the Fourth Proportional to 11,398.34, 17,106.23 and 7,448.49

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Solution

The fourth proportional to 11,398.34, 17,106.23 and 7,448.49 is: 11,178.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.34 : 17,106.23 = 7,448.49 : x
  2. Step 2: Convert to fraction form
    11,398.34/17,106.23 = 7,448.49/x
  3. Step 3: Cross multiply
    11,398.34x = 17,106.23 × 7,448.49
  4. Step 4: Simplify right side
    11,398.34x = 127,415,601.71
  5. Step 5: Solve for x
    x = 127,415,601.71/11,398.34
  6. Step 6: Final answer
    x = 11,178.43

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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.