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Finding the Fourth Proportional to 5,188.70, 7,780.71 and 1,490.09

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Solution

The fourth proportional to 5,188.70, 7,780.71 and 1,490.09 is: 2,234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.70 : 7,780.71 = 1,490.09 : x
  2. Step 2: Convert to fraction form
    5,188.70/7,780.71 = 1,490.09/x
  3. Step 3: Cross multiply
    5,188.70x = 7,780.71 × 1,490.09
  4. Step 4: Simplify right side
    5,188.70x = 11,593,958.16
  5. Step 5: Solve for x
    x = 11,593,958.16/5,188.70
  6. Step 6: Final answer
    x = 2,234.46

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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.