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Finding the Fourth Proportional to 2,807.35, 4,209.53 and 859.03

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Solution

The fourth proportional to 2,807.35, 4,209.53 and 859.03 is: 1,288.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.35 : 4,209.53 = 859.03 : x
  2. Step 2: Convert to fraction form
    2,807.35/4,209.53 = 859.03/x
  3. Step 3: Cross multiply
    2,807.35x = 4,209.53 × 859.03
  4. Step 4: Simplify right side
    2,807.35x = 3,616,104.18
  5. Step 5: Solve for x
    x = 3,616,104.18/2,807.35
  6. Step 6: Final answer
    x = 1,288.09

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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.