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Finding the Fourth Proportional to 2,651.66, 3,659.93 and 1,755.60

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Solution

The fourth proportional to 2,651.66, 3,659.93 and 1,755.60 is: 2,423.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.66 : 3,659.93 = 1,755.60 : x
  2. Step 2: Convert to fraction form
    2,651.66/3,659.93 = 1,755.60/x
  3. Step 3: Cross multiply
    2,651.66x = 3,659.93 × 1,755.60
  4. Step 4: Simplify right side
    2,651.66x = 6,425,373.11
  5. Step 5: Solve for x
    x = 6,425,373.11/2,651.66
  6. Step 6: Final answer
    x = 2,423.15

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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.