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Finding the Fourth Proportional to 21,820.02, 32,741.76 and 8,672.50

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Solution

The fourth proportional to 21,820.02, 32,741.76 and 8,672.50 is: 13,013.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,820.02 : 32,741.76 = 8,672.50 : x
  2. Step 2: Convert to fraction form
    21,820.02/32,741.76 = 8,672.50/x
  3. Step 3: Cross multiply
    21,820.02x = 32,741.76 × 8,672.50
  4. Step 4: Simplify right side
    21,820.02x = 283,952,913.60
  5. Step 5: Solve for x
    x = 283,952,913.60/21,820.02
  6. Step 6: Final answer
    x = 13,013.41

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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.