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Finding the Fourth Proportional to 1,749.60, 2,619.60 and 1,365.60

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Solution

The fourth proportional to 1,749.60, 2,619.60 and 1,365.60 is: 2,044.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.60 : 2,619.60 = 1,365.60 : x
  2. Step 2: Convert to fraction form
    1,749.60/2,619.60 = 1,365.60/x
  3. Step 3: Cross multiply
    1,749.60x = 2,619.60 × 1,365.60
  4. Step 4: Simplify right side
    1,749.60x = 3,577,325.76
  5. Step 5: Solve for x
    x = 3,577,325.76/1,749.60
  6. Step 6: Final answer
    x = 2,044.65

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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.