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Finding the Fourth Proportional to 1,720.58, 2,581.90 and 1,581.16

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Solution

The fourth proportional to 1,720.58, 2,581.90 and 1,581.16 is: 2,372.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.58 : 2,581.90 = 1,581.16 : x
  2. Step 2: Convert to fraction form
    1,720.58/2,581.90 = 1,581.16/x
  3. Step 3: Cross multiply
    1,720.58x = 2,581.90 × 1,581.16
  4. Step 4: Simplify right side
    1,720.58x = 4,082,397.00
  5. Step 5: Solve for x
    x = 4,082,397.00/1,720.58
  6. Step 6: Final answer
    x = 2,372.69

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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.