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Finding the Fourth Proportional to 19,865.70, 29,802.18 and 8,172.54

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Solution

The fourth proportional to 19,865.70, 29,802.18 and 8,172.54 is: 12,260.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,865.70 : 29,802.18 = 8,172.54 : x
  2. Step 2: Convert to fraction form
    19,865.70/29,802.18 = 8,172.54/x
  3. Step 3: Cross multiply
    19,865.70x = 29,802.18 × 8,172.54
  4. Step 4: Simplify right side
    19,865.70x = 243,559,508.14
  5. Step 5: Solve for x
    x = 243,559,508.14/19,865.70
  6. Step 6: Final answer
    x = 12,260.30

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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.