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Finding the Fourth Proportional to 19,795.80, 29,696.40 and 6,649.50

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Solution

The fourth proportional to 19,795.80, 29,696.40 and 6,649.50 is: 9,975.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,795.80 : 29,696.40 = 6,649.50 : x
  2. Step 2: Convert to fraction form
    19,795.80/29,696.40 = 6,649.50/x
  3. Step 3: Cross multiply
    19,795.80x = 29,696.40 × 6,649.50
  4. Step 4: Simplify right side
    19,795.80x = 197,466,211.80
  5. Step 5: Solve for x
    x = 197,466,211.80/19,795.80
  6. Step 6: Final answer
    x = 9,975.16

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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.