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Finding the Fourth Proportional to 2,807.09, 4,210.58 and 859.24

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Solution

The fourth proportional to 2,807.09, 4,210.58 and 859.24 is: 1,288.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.09 : 4,210.58 = 859.24 : x
  2. Step 2: Convert to fraction form
    2,807.09/4,210.58 = 859.24/x
  3. Step 3: Cross multiply
    2,807.09x = 4,210.58 × 859.24
  4. Step 4: Simplify right side
    2,807.09x = 3,617,906.17
  5. Step 5: Solve for x
    x = 3,617,906.17/2,807.09
  6. Step 6: Final answer
    x = 1,288.85

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1.5x scale

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.