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Finding the Fourth Proportional to 5,806.19, 8,015 and 3,920.33

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Solution

The fourth proportional to 5,806.19, 8,015 and 3,920.33 is: 5,411.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.19 : 8,015 = 3,920.33 : x
  2. Step 2: Convert to fraction form
    5,806.19/8,015 = 3,920.33/x
  3. Step 3: Cross multiply
    5,806.19x = 8,015 × 3,920.33
  4. Step 4: Simplify right side
    5,806.19x = 31,421,444.95
  5. Step 5: Solve for x
    x = 31,421,444.95/5,806.19
  6. Step 6: Final answer
    x = 5,411.71

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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.