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Finding the Fourth Proportional to 1,736.80, 2,379.56 and 1,712.50

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Solution

The fourth proportional to 1,736.80, 2,379.56 and 1,712.50 is: 2,346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.80 : 2,379.56 = 1,712.50 : x
  2. Step 2: Convert to fraction form
    1,736.80/2,379.56 = 1,712.50/x
  3. Step 3: Cross multiply
    1,736.80x = 2,379.56 × 1,712.50
  4. Step 4: Simplify right side
    1,736.80x = 4,074,996.50
  5. Step 5: Solve for x
    x = 4,074,996.50/1,736.80
  6. Step 6: Final answer
    x = 2,346.27

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.