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Finding the Fourth Proportional to 12,089.68, 16,684.04 and 6,784.90

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Solution

The fourth proportional to 12,089.68, 16,684.04 and 6,784.90 is: 9,363.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089.68 : 16,684.04 = 6,784.90 : x
  2. Step 2: Convert to fraction form
    12,089.68/16,684.04 = 6,784.90/x
  3. Step 3: Cross multiply
    12,089.68x = 16,684.04 × 6,784.90
  4. Step 4: Simplify right side
    12,089.68x = 113,199,518.25
  5. Step 5: Solve for x
    x = 113,199,518.25/12,089.68
  6. Step 6: Final answer
    x = 9,363.32

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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.