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Finding the Fourth Proportional to 11,225.23, 15,489.76 and 6,509

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Solution

The fourth proportional to 11,225.23, 15,489.76 and 6,509 is: 8,981.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,225.23 : 15,489.76 = 6,509 : x
  2. Step 2: Convert to fraction form
    11,225.23/15,489.76 = 6,509/x
  3. Step 3: Cross multiply
    11,225.23x = 15,489.76 × 6,509
  4. Step 4: Simplify right side
    11,225.23x = 100,822,847.84
  5. Step 5: Solve for x
    x = 100,822,847.84/11,225.23
  6. Step 6: Final answer
    x = 8,981.81

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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.