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Finding the Fourth Proportional to 2,806.72, 4,210.10 and 858.96

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Solution

The fourth proportional to 2,806.72, 4,210.10 and 858.96 is: 1,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.72 : 4,210.10 = 858.96 : x
  2. Step 2: Convert to fraction form
    2,806.72/4,210.10 = 858.96/x
  3. Step 3: Cross multiply
    2,806.72x = 4,210.10 × 858.96
  4. Step 4: Simplify right side
    2,806.72x = 3,616,307.50
  5. Step 5: Solve for x
    x = 3,616,307.50/2,806.72
  6. Step 6: Final answer
    x = 1,288.45

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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.