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Finding the Fourth Proportional to 5,481.19, 8,223 and 1,585.63

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Solution

The fourth proportional to 5,481.19, 8,223 and 1,585.63 is: 2,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,481.19 : 8,223 = 1,585.63 : x
  2. Step 2: Convert to fraction form
    5,481.19/8,223 = 1,585.63/x
  3. Step 3: Cross multiply
    5,481.19x = 8,223 × 1,585.63
  4. Step 4: Simplify right side
    5,481.19x = 13,038,635.49
  5. Step 5: Solve for x
    x = 13,038,635.49/5,481.19
  6. Step 6: Final answer
    x = 2,378.80

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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.