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Finding the Fourth Proportional to 12,637.23, 17,438.97 and 6,894.48

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Solution

The fourth proportional to 12,637.23, 17,438.97 and 6,894.48 is: 9,514.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,637.23 : 17,438.97 = 6,894.48 : x
  2. Step 2: Convert to fraction form
    12,637.23/17,438.97 = 6,894.48/x
  3. Step 3: Cross multiply
    12,637.23x = 17,438.97 × 6,894.48
  4. Step 4: Simplify right side
    12,637.23x = 120,232,629.89
  5. Step 5: Solve for x
    x = 120,232,629.89/12,637.23
  6. Step 6: Final answer
    x = 9,514.16

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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.