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Finding the Fourth Proportional to 5,188.54, 7,782.80 and 1,490.22

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Solution

The fourth proportional to 5,188.54, 7,782.80 and 1,490.22 is: 2,235.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.54 : 7,782.80 = 1,490.22 : x
  2. Step 2: Convert to fraction form
    5,188.54/7,782.80 = 1,490.22/x
  3. Step 3: Cross multiply
    5,188.54x = 7,782.80 × 1,490.22
  4. Step 4: Simplify right side
    5,188.54x = 11,598,084.22
  5. Step 5: Solve for x
    x = 11,598,084.22/5,188.54
  6. Step 6: Final answer
    x = 2,235.33

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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.