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Finding the Fourth Proportional to 3,533.64, 4,876.71 and 1,961.70

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Solution

The fourth proportional to 3,533.64, 4,876.71 and 1,961.70 is: 2,707.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.64 : 4,876.71 = 1,961.70 : x
  2. Step 2: Convert to fraction form
    3,533.64/4,876.71 = 1,961.70/x
  3. Step 3: Cross multiply
    3,533.64x = 4,876.71 × 1,961.70
  4. Step 4: Simplify right side
    3,533.64x = 9,566,642.01
  5. Step 5: Solve for x
    x = 9,566,642.01/3,533.64
  6. Step 6: Final answer
    x = 2,707.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.