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Finding the Fourth Proportional to 21,408.64, 32,112.64 and 11,014.40

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Solution

The fourth proportional to 21,408.64, 32,112.64 and 11,014.40 is: 16,521.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,408.64 : 32,112.64 = 11,014.40 : x
  2. Step 2: Convert to fraction form
    21,408.64/32,112.64 = 11,014.40/x
  3. Step 3: Cross multiply
    21,408.64x = 32,112.64 × 11,014.40
  4. Step 4: Simplify right side
    21,408.64x = 353,701,462.02
  5. Step 5: Solve for x
    x = 353,701,462.02/21,408.64
  6. Step 6: Final answer
    x = 16,521.44

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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.