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Finding the Fourth Proportional to 2,807.16, 4,210.54 and 859.26

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Solution

The fourth proportional to 2,807.16, 4,210.54 and 859.26 is: 1,288.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.16 : 4,210.54 = 859.26 : x
  2. Step 2: Convert to fraction form
    2,807.16/4,210.54 = 859.26/x
  3. Step 3: Cross multiply
    2,807.16x = 4,210.54 × 859.26
  4. Step 4: Simplify right side
    2,807.16x = 3,617,948.60
  5. Step 5: Solve for x
    x = 3,617,948.60/2,807.16
  6. Step 6: Final answer
    x = 1,288.83

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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.