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Finding the Fourth Proportional to 2,360, 3,538.44 and 1,127.60

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Solution

The fourth proportional to 2,360, 3,538.44 and 1,127.60 is: 1,690.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360 : 3,538.44 = 1,127.60 : x
  2. Step 2: Convert to fraction form
    2,360/3,538.44 = 1,127.60/x
  3. Step 3: Cross multiply
    2,360x = 3,538.44 × 1,127.60
  4. Step 4: Simplify right side
    2,360x = 3,989,944.94
  5. Step 5: Solve for x
    x = 3,989,944.94/2,360
  6. Step 6: Final answer
    x = 1,690.65

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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.