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Finding the Fourth Proportional to 1,861.72, 2,566.74 and 1,720.96

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Solution

The fourth proportional to 1,861.72, 2,566.74 and 1,720.96 is: 2,372.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.72 : 2,566.74 = 1,720.96 : x
  2. Step 2: Convert to fraction form
    1,861.72/2,566.74 = 1,720.96/x
  3. Step 3: Cross multiply
    1,861.72x = 2,566.74 × 1,720.96
  4. Step 4: Simplify right side
    1,861.72x = 4,417,256.87
  5. Step 5: Solve for x
    x = 4,417,256.87/1,861.72
  6. Step 6: Final answer
    x = 2,372.68

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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.