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Finding the Fourth Proportional to 21,706.88, 29,961.68 and 13,210.32

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Solution

The fourth proportional to 21,706.88, 29,961.68 and 13,210.32 is: 18,234.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706.88 : 29,961.68 = 13,210.32 : x
  2. Step 2: Convert to fraction form
    21,706.88/29,961.68 = 13,210.32/x
  3. Step 3: Cross multiply
    21,706.88x = 29,961.68 × 13,210.32
  4. Step 4: Simplify right side
    21,706.88x = 395,803,380.54
  5. Step 5: Solve for x
    x = 395,803,380.54/21,706.88
  6. Step 6: Final answer
    x = 18,234.01

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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.