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Finding the Fourth Proportional to 12,993.86, 19,490.78 and 4,228.77

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Solution

The fourth proportional to 12,993.86, 19,490.78 and 4,228.77 is: 6,343.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,993.86 : 19,490.78 = 4,228.77 : x
  2. Step 2: Convert to fraction form
    12,993.86/19,490.78 = 4,228.77/x
  3. Step 3: Cross multiply
    12,993.86x = 19,490.78 × 4,228.77
  4. Step 4: Simplify right side
    12,993.86x = 82,422,030.15
  5. Step 5: Solve for x
    x = 82,422,030.15/12,993.86
  6. Step 6: Final answer
    x = 6,343.15

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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.