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Finding the Fourth Proportional to 5,188.50, 7,783.90 and 1,490.44

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Solution

The fourth proportional to 5,188.50, 7,783.90 and 1,490.44 is: 2,235.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.50 : 7,783.90 = 1,490.44 : x
  2. Step 2: Convert to fraction form
    5,188.50/7,783.90 = 1,490.44/x
  3. Step 3: Cross multiply
    5,188.50x = 7,783.90 × 1,490.44
  4. Step 4: Simplify right side
    5,188.50x = 11,601,435.92
  5. Step 5: Solve for x
    x = 11,601,435.92/5,188.50
  6. Step 6: Final answer
    x = 2,235.99

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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.