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Finding the Fourth Proportional to 5,188.34, 7,783.86 and 1,490.87

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Solution

The fourth proportional to 5,188.34, 7,783.86 and 1,490.87 is: 2,236.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.34 : 7,783.86 = 1,490.87 : x
  2. Step 2: Convert to fraction form
    5,188.34/7,783.86 = 1,490.87/x
  3. Step 3: Cross multiply
    5,188.34x = 7,783.86 × 1,490.87
  4. Step 4: Simplify right side
    5,188.34x = 11,604,723.36
  5. Step 5: Solve for x
    x = 11,604,723.36/5,188.34
  6. Step 6: Final answer
    x = 2,236.69

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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.