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Finding the Fourth Proportional to 2,859, 4,289.22 and 807

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Solution

The fourth proportional to 2,859, 4,289.22 and 807 is: 1,210.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859 : 4,289.22 = 807 : x
  2. Step 2: Convert to fraction form
    2,859/4,289.22 = 807/x
  3. Step 3: Cross multiply
    2,859x = 4,289.22 × 807
  4. Step 4: Simplify right side
    2,859x = 3,461,400.54
  5. Step 5: Solve for x
    x = 3,461,400.54/2,859
  6. Step 6: Final answer
    x = 1,210.70

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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.