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Finding the Fourth Proportional to 3,164.79, 4,746.63 and 855.75

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Solution

The fourth proportional to 3,164.79, 4,746.63 and 855.75 is: 1,283.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.79 : 4,746.63 = 855.75 : x
  2. Step 2: Convert to fraction form
    3,164.79/4,746.63 = 855.75/x
  3. Step 3: Cross multiply
    3,164.79x = 4,746.63 × 855.75
  4. Step 4: Simplify right side
    3,164.79x = 4,061,928.62
  5. Step 5: Solve for x
    x = 4,061,928.62/3,164.79
  6. Step 6: Final answer
    x = 1,283.47

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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.