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Finding the Fourth Proportional to 2,807.00, 4,210.50 and 859.19

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Solution

The fourth proportional to 2,807.00, 4,210.50 and 859.19 is: 1,288.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.00 : 4,210.50 = 859.19 : x
  2. Step 2: Convert to fraction form
    2,807.00/4,210.50 = 859.19/x
  3. Step 3: Cross multiply
    2,807.00x = 4,210.50 × 859.19
  4. Step 4: Simplify right side
    2,807.00x = 3,617,619.50
  5. Step 5: Solve for x
    x = 3,617,619.50/2,807.00
  6. Step 6: Final answer
    x = 1,288.79

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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.