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Finding the Fourth Proportional to 19,978.07, 29,946.03 and 6,647.48

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Solution

The fourth proportional to 19,978.07, 29,946.03 and 6,647.48 is: 9,964.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.07 : 29,946.03 = 6,647.48 : x
  2. Step 2: Convert to fraction form
    19,978.07/29,946.03 = 6,647.48/x
  3. Step 3: Cross multiply
    19,978.07x = 29,946.03 × 6,647.48
  4. Step 4: Simplify right side
    19,978.07x = 199,065,573.14
  5. Step 5: Solve for x
    x = 199,065,573.14/19,978.07
  6. Step 6: Final answer
    x = 9,964.21

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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.