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Finding the Fourth Proportional to 21,401.40, 32,102.10 and 5,606.40

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Solution

The fourth proportional to 21,401.40, 32,102.10 and 5,606.40 is: 8,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,401.40 : 32,102.10 = 5,606.40 : x
  2. Step 2: Convert to fraction form
    21,401.40/32,102.10 = 5,606.40/x
  3. Step 3: Cross multiply
    21,401.40x = 32,102.10 × 5,606.40
  4. Step 4: Simplify right side
    21,401.40x = 179,977,213.44
  5. Step 5: Solve for x
    x = 179,977,213.44/21,401.40
  6. Step 6: Final answer
    x = 8,409.60

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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.