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Finding the Fourth Proportional to 15,706.50, 21,675.36 and 8,633.58

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Solution

The fourth proportional to 15,706.50, 21,675.36 and 8,633.58 is: 11,914.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.50 : 21,675.36 = 8,633.58 : x
  2. Step 2: Convert to fraction form
    15,706.50/21,675.36 = 8,633.58/x
  3. Step 3: Cross multiply
    15,706.50x = 21,675.36 × 8,633.58
  4. Step 4: Simplify right side
    15,706.50x = 187,135,954.59
  5. Step 5: Solve for x
    x = 187,135,954.59/15,706.50
  6. Step 6: Final answer
    x = 11,914.55

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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.