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Finding the Fourth Proportional to 21,602.64, 32,408.88 and 7,563.36

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Solution

The fourth proportional to 21,602.64, 32,408.88 and 7,563.36 is: 11,346.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,602.64 : 32,408.88 = 7,563.36 : x
  2. Step 2: Convert to fraction form
    21,602.64/32,408.88 = 7,563.36/x
  3. Step 3: Cross multiply
    21,602.64x = 32,408.88 × 7,563.36
  4. Step 4: Simplify right side
    21,602.64x = 245,120,026.64
  5. Step 5: Solve for x
    x = 245,120,026.64/21,602.64
  6. Step 6: Final answer
    x = 11,346.76

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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.