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Finding the Fourth Proportional to 21,420.70, 32,138.74 and 9,573.49

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Solution

The fourth proportional to 21,420.70, 32,138.74 and 9,573.49 is: 14,363.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,420.70 : 32,138.74 = 9,573.49 : x
  2. Step 2: Convert to fraction form
    21,420.70/32,138.74 = 9,573.49/x
  3. Step 3: Cross multiply
    21,420.70x = 32,138.74 × 9,573.49
  4. Step 4: Simplify right side
    21,420.70x = 307,679,906.00
  5. Step 5: Solve for x
    x = 307,679,906.00/21,420.70
  6. Step 6: Final answer
    x = 14,363.67

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1.5x scale

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.