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Finding the Fourth Proportional to 13,706.87, 18,911.61 and 8,603.06

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Solution

The fourth proportional to 13,706.87, 18,911.61 and 8,603.06 is: 11,869.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.87 : 18,911.61 = 8,603.06 : x
  2. Step 2: Convert to fraction form
    13,706.87/18,911.61 = 8,603.06/x
  3. Step 3: Cross multiply
    13,706.87x = 18,911.61 × 8,603.06
  4. Step 4: Simplify right side
    13,706.87x = 162,697,620.97
  5. Step 5: Solve for x
    x = 162,697,620.97/13,706.87
  6. Step 6: Final answer
    x = 11,869.79

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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.