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Finding the Fourth Proportional to 15,106.07, 22,661.41 and 7,706.49

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Solution

The fourth proportional to 15,106.07, 22,661.41 and 7,706.49 is: 11,560.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,106.07 : 22,661.41 = 7,706.49 : x
  2. Step 2: Convert to fraction form
    15,106.07/22,661.41 = 7,706.49/x
  3. Step 3: Cross multiply
    15,106.07x = 22,661.41 × 7,706.49
  4. Step 4: Simplify right side
    15,106.07x = 174,639,929.55
  5. Step 5: Solve for x
    x = 174,639,929.55/15,106.07
  6. Step 6: Final answer
    x = 11,560.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.