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Finding the Fourth Proportional to 12,089.77, 16,684.14 and 7,054.32

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Solution

The fourth proportional to 12,089.77, 16,684.14 and 7,054.32 is: 9,735.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089.77 : 16,684.14 = 7,054.32 : x
  2. Step 2: Convert to fraction form
    12,089.77/16,684.14 = 7,054.32/x
  3. Step 3: Cross multiply
    12,089.77x = 16,684.14 × 7,054.32
  4. Step 4: Simplify right side
    12,089.77x = 117,695,262.48
  5. Step 5: Solve for x
    x = 117,695,262.48/12,089.77
  6. Step 6: Final answer
    x = 9,735.11

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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.