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Finding the Fourth Proportional to 2,634.56, 3,951.45 and 785.60

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Solution

The fourth proportional to 2,634.56, 3,951.45 and 785.60 is: 1,178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.56 : 3,951.45 = 785.60 : x
  2. Step 2: Convert to fraction form
    2,634.56/3,951.45 = 785.60/x
  3. Step 3: Cross multiply
    2,634.56x = 3,951.45 × 785.60
  4. Step 4: Simplify right side
    2,634.56x = 3,104,259.12
  5. Step 5: Solve for x
    x = 3,104,259.12/2,634.56
  6. Step 6: Final answer
    x = 1,178.28

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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.