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Finding the Fourth Proportional to 2,047.36, 2,825.36 and 1,115.86

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Solution

The fourth proportional to 2,047.36, 2,825.36 and 1,115.86 is: 1,539.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.36 : 2,825.36 = 1,115.86 : x
  2. Step 2: Convert to fraction form
    2,047.36/2,825.36 = 1,115.86/x
  3. Step 3: Cross multiply
    2,047.36x = 2,825.36 × 1,115.86
  4. Step 4: Simplify right side
    2,047.36x = 3,152,699.91
  5. Step 5: Solve for x
    x = 3,152,699.91/2,047.36
  6. Step 6: Final answer
    x = 1,539.89

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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.