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Finding the Fourth Proportional to 4,212.32, 5,806 and 3,859.36

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Solution

The fourth proportional to 4,212.32, 5,806 and 3,859.36 is: 5,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212.32 : 5,806 = 3,859.36 : x
  2. Step 2: Convert to fraction form
    4,212.32/5,806 = 3,859.36/x
  3. Step 3: Cross multiply
    4,212.32x = 5,806 × 3,859.36
  4. Step 4: Simplify right side
    4,212.32x = 22,407,444.16
  5. Step 5: Solve for x
    x = 22,407,444.16/4,212.32
  6. Step 6: Final answer
    x = 5,319.50

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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.