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Finding the Fourth Proportional to 12,556.70, 18,825.31 and 7,283.60

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Solution

The fourth proportional to 12,556.70, 18,825.31 and 7,283.60 is: 10,919.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,556.70 : 18,825.31 = 7,283.60 : x
  2. Step 2: Convert to fraction form
    12,556.70/18,825.31 = 7,283.60/x
  3. Step 3: Cross multiply
    12,556.70x = 18,825.31 × 7,283.60
  4. Step 4: Simplify right side
    12,556.70x = 137,116,027.92
  5. Step 5: Solve for x
    x = 137,116,027.92/12,556.70
  6. Step 6: Final answer
    x = 10,919.75

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1.5x scale

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.