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Finding the Fourth Proportional to 2,561.63, 3,533.63 and 1,720.85

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Solution

The fourth proportional to 2,561.63, 3,533.63 and 1,720.85 is: 2,373.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.63 : 3,533.63 = 1,720.85 : x
  2. Step 2: Convert to fraction form
    2,561.63/3,533.63 = 1,720.85/x
  3. Step 3: Cross multiply
    2,561.63x = 3,533.63 × 1,720.85
  4. Step 4: Simplify right side
    2,561.63x = 6,080,820.91
  5. Step 5: Solve for x
    x = 6,080,820.91/2,561.63
  6. Step 6: Final answer
    x = 2,373.81

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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.