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Finding the Fourth Proportional to 15,611.68, 23,419.86 and 5,221

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Solution

The fourth proportional to 15,611.68, 23,419.86 and 5,221 is: 7,832.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,611.68 : 23,419.86 = 5,221 : x
  2. Step 2: Convert to fraction form
    15,611.68/23,419.86 = 5,221/x
  3. Step 3: Cross multiply
    15,611.68x = 23,419.86 × 5,221
  4. Step 4: Simplify right side
    15,611.68x = 122,275,089.06
  5. Step 5: Solve for x
    x = 122,275,089.06/15,611.68
  6. Step 6: Final answer
    x = 7,832.28

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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.