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Finding the Fourth Proportional to 9,978.74, 14,959.99 and 3,735.25

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Solution

The fourth proportional to 9,978.74, 14,959.99 and 3,735.25 is: 5,599.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.74 : 14,959.99 = 3,735.25 : x
  2. Step 2: Convert to fraction form
    9,978.74/14,959.99 = 3,735.25/x
  3. Step 3: Cross multiply
    9,978.74x = 14,959.99 × 3,735.25
  4. Step 4: Simplify right side
    9,978.74x = 55,879,283.97
  5. Step 5: Solve for x
    x = 55,879,283.97/9,978.74
  6. Step 6: Final answer
    x = 5,599.84

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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.