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Finding the Fourth Proportional to 19,978.84, 29,960.70 and 6,649.48

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Solution

The fourth proportional to 19,978.84, 29,960.70 and 6,649.48 is: 9,971.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.84 : 29,960.70 = 6,649.48 : x
  2. Step 2: Convert to fraction form
    19,978.84/29,960.70 = 6,649.48/x
  3. Step 3: Cross multiply
    19,978.84x = 29,960.70 × 6,649.48
  4. Step 4: Simplify right side
    19,978.84x = 199,223,075.44
  5. Step 5: Solve for x
    x = 199,223,075.44/19,978.84
  6. Step 6: Final answer
    x = 9,971.70

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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.