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Finding the Fourth Proportional to 2,561.70, 3,533.85 and 1,972.02

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Solution

The fourth proportional to 2,561.70, 3,533.85 and 1,972.02 is: 2,720.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.70 : 3,533.85 = 1,972.02 : x
  2. Step 2: Convert to fraction form
    2,561.70/3,533.85 = 1,972.02/x
  3. Step 3: Cross multiply
    2,561.70x = 3,533.85 × 1,972.02
  4. Step 4: Simplify right side
    2,561.70x = 6,968,822.88
  5. Step 5: Solve for x
    x = 6,968,822.88/2,561.70
  6. Step 6: Final answer
    x = 2,720.39

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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.