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Finding the Fourth Proportional to 11,500.84, 15,873.06 and 9,021.16

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Solution

The fourth proportional to 11,500.84, 15,873.06 and 9,021.16 is: 12,450.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.84 : 15,873.06 = 9,021.16 : x
  2. Step 2: Convert to fraction form
    11,500.84/15,873.06 = 9,021.16/x
  3. Step 3: Cross multiply
    11,500.84x = 15,873.06 × 9,021.16
  4. Step 4: Simplify right side
    11,500.84x = 143,193,413.95
  5. Step 5: Solve for x
    x = 143,193,413.95/11,500.84
  6. Step 6: Final answer
    x = 12,450.69

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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.