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Finding the Fourth Proportional to 11,483.60, 15,825.84 and 7,940.48

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Solution

The fourth proportional to 11,483.60, 15,825.84 and 7,940.48 is: 10,942.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,483.60 : 15,825.84 = 7,940.48 : x
  2. Step 2: Convert to fraction form
    11,483.60/15,825.84 = 7,940.48/x
  3. Step 3: Cross multiply
    11,483.60x = 15,825.84 × 7,940.48
  4. Step 4: Simplify right side
    11,483.60x = 125,664,766.00
  5. Step 5: Solve for x
    x = 125,664,766.00/11,483.60
  6. Step 6: Final answer
    x = 10,942.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.