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Finding the Fourth Proportional to 21,811.68, 32,706.59 and 8,656.88

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Solution

The fourth proportional to 21,811.68, 32,706.59 and 8,656.88 is: 12,980.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,811.68 : 32,706.59 = 8,656.88 : x
  2. Step 2: Convert to fraction form
    21,811.68/32,706.59 = 8,656.88/x
  3. Step 3: Cross multiply
    21,811.68x = 32,706.59 × 8,656.88
  4. Step 4: Simplify right side
    21,811.68x = 283,136,818.02
  5. Step 5: Solve for x
    x = 283,136,818.02/21,811.68
  6. Step 6: Final answer
    x = 12,980.97

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Why These Related Problems?

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