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Finding the Fourth Proportional to 21,428.70, 32,143.05 and 9,764.70

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Solution

The fourth proportional to 21,428.70, 32,143.05 and 9,764.70 is: 14,647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,428.70 : 32,143.05 = 9,764.70 : x
  2. Step 2: Convert to fraction form
    21,428.70/32,143.05 = 9,764.70/x
  3. Step 3: Cross multiply
    21,428.70x = 32,143.05 × 9,764.70
  4. Step 4: Simplify right side
    21,428.70x = 313,867,240.34
  5. Step 5: Solve for x
    x = 313,867,240.34/21,428.70
  6. Step 6: Final answer
    x = 14,647.05

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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.