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Finding the Fourth Proportional to 2,122.59, 3,185.46 and 807.63

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Solution

The fourth proportional to 2,122.59, 3,185.46 and 807.63 is: 1,212.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.59 : 3,185.46 = 807.63 : x
  2. Step 2: Convert to fraction form
    2,122.59/3,185.46 = 807.63/x
  3. Step 3: Cross multiply
    2,122.59x = 3,185.46 × 807.63
  4. Step 4: Simplify right side
    2,122.59x = 2,572,673.06
  5. Step 5: Solve for x
    x = 2,572,673.06/2,122.59
  6. Step 6: Final answer
    x = 1,212.04

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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.