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Finding the Fourth Proportional to 12,089.31, 16,684.02 and 9,099.87

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Solution

The fourth proportional to 12,089.31, 16,684.02 and 9,099.87 is: 12,558.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089.31 : 16,684.02 = 9,099.87 : x
  2. Step 2: Convert to fraction form
    12,089.31/16,684.02 = 9,099.87/x
  3. Step 3: Cross multiply
    12,089.31x = 16,684.02 × 9,099.87
  4. Step 4: Simplify right side
    12,089.31x = 151,822,413.08
  5. Step 5: Solve for x
    x = 151,822,413.08/12,089.31
  6. Step 6: Final answer
    x = 12,558.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.