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Finding the Fourth Proportional to 12,993.78, 19,490.40 and 5,200.50

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Solution

The fourth proportional to 12,993.78, 19,490.40 and 5,200.50 is: 7,800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,993.78 : 19,490.40 = 5,200.50 : x
  2. Step 2: Convert to fraction form
    12,993.78/19,490.40 = 5,200.50/x
  3. Step 3: Cross multiply
    12,993.78x = 19,490.40 × 5,200.50
  4. Step 4: Simplify right side
    12,993.78x = 101,359,825.20
  5. Step 5: Solve for x
    x = 101,359,825.20/12,993.78
  6. Step 6: Final answer
    x = 7,800.64

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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.