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Finding the Fourth Proportional to 5,803.70, 8,009 and 3,151.08

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Solution

The fourth proportional to 5,803.70, 8,009 and 3,151.08 is: 4,348.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.70 : 8,009 = 3,151.08 : x
  2. Step 2: Convert to fraction form
    5,803.70/8,009 = 3,151.08/x
  3. Step 3: Cross multiply
    5,803.70x = 8,009 × 3,151.08
  4. Step 4: Simplify right side
    5,803.70x = 25,236,999.72
  5. Step 5: Solve for x
    x = 25,236,999.72/5,803.70
  6. Step 6: Final answer
    x = 4,348.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.