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Finding the Fourth Proportional to 2,806.40, 4,210.20 and 858.56

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Solution

The fourth proportional to 2,806.40, 4,210.20 and 858.56 is: 1,288.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.40 : 4,210.20 = 858.56 : x
  2. Step 2: Convert to fraction form
    2,806.40/4,210.20 = 858.56/x
  3. Step 3: Cross multiply
    2,806.40x = 4,210.20 × 858.56
  4. Step 4: Simplify right side
    2,806.40x = 3,614,688.26
  5. Step 5: Solve for x
    x = 3,614,688.26/2,806.40
  6. Step 6: Final answer
    x = 1,288.02

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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.