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Finding the Fourth Proportional to 2,807.16, 4,210.75 and 859.36

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Solution

The fourth proportional to 2,807.16, 4,210.75 and 859.36 is: 1,289.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.16 : 4,210.75 = 859.36 : x
  2. Step 2: Convert to fraction form
    2,807.16/4,210.75 = 859.36/x
  3. Step 3: Cross multiply
    2,807.16x = 4,210.75 × 859.36
  4. Step 4: Simplify right side
    2,807.16x = 3,618,550.12
  5. Step 5: Solve for x
    x = 3,618,550.12/2,807.16
  6. Step 6: Final answer
    x = 1,289.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.