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Finding the Fourth Proportional to 9,978.35, 14,940.52 and 6,684.35

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Solution

The fourth proportional to 9,978.35, 14,940.52 and 6,684.35 is: 10,008.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.35 : 14,940.52 = 6,684.35 : x
  2. Step 2: Convert to fraction form
    9,978.35/14,940.52 = 6,684.35/x
  3. Step 3: Cross multiply
    9,978.35x = 14,940.52 × 6,684.35
  4. Step 4: Simplify right side
    9,978.35x = 99,867,573.45
  5. Step 5: Solve for x
    x = 99,867,573.45/9,978.35
  6. Step 6: Final answer
    x = 10,008.43

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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.