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Finding the Fourth Proportional to 2,782.86, 3,840.42 and 1,603.92

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Solution

The fourth proportional to 2,782.86, 3,840.42 and 1,603.92 is: 2,213.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.86 : 3,840.42 = 1,603.92 : x
  2. Step 2: Convert to fraction form
    2,782.86/3,840.42 = 1,603.92/x
  3. Step 3: Cross multiply
    2,782.86x = 3,840.42 × 1,603.92
  4. Step 4: Simplify right side
    2,782.86x = 6,159,726.45
  5. Step 5: Solve for x
    x = 6,159,726.45/2,782.86
  6. Step 6: Final answer
    x = 2,213.45

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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.