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Finding the Fourth Proportional to 15,808.10, 21,815.34 and 8,638.22

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Solution

The fourth proportional to 15,808.10, 21,815.34 and 8,638.22 is: 11,920.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,808.10 : 21,815.34 = 8,638.22 : x
  2. Step 2: Convert to fraction form
    15,808.10/21,815.34 = 8,638.22/x
  3. Step 3: Cross multiply
    15,808.10x = 21,815.34 × 8,638.22
  4. Step 4: Simplify right side
    15,808.10x = 188,445,706.29
  5. Step 5: Solve for x
    x = 188,445,706.29/15,808.10
  6. Step 6: Final answer
    x = 11,920.83

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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.