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Finding the Fourth Proportional to 2,806.97, 4,210.29 and 859.16

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Solution

The fourth proportional to 2,806.97, 4,210.29 and 859.16 is: 1,288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.97 : 4,210.29 = 859.16 : x
  2. Step 2: Convert to fraction form
    2,806.97/4,210.29 = 859.16/x
  3. Step 3: Cross multiply
    2,806.97x = 4,210.29 × 859.16
  4. Step 4: Simplify right side
    2,806.97x = 3,617,323.28
  5. Step 5: Solve for x
    x = 3,617,323.28/2,806.97
  6. Step 6: Final answer
    x = 1,288.70

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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.