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Finding the Fourth Proportional to 2,782.72, 3,840.24 and 1,603.84

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Solution

The fourth proportional to 2,782.72, 3,840.24 and 1,603.84 is: 2,213.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.72 : 3,840.24 = 1,603.84 : x
  2. Step 2: Convert to fraction form
    2,782.72/3,840.24 = 1,603.84/x
  3. Step 3: Cross multiply
    2,782.72x = 3,840.24 × 1,603.84
  4. Step 4: Simplify right side
    2,782.72x = 6,159,130.52
  5. Step 5: Solve for x
    x = 6,159,130.52/2,782.72
  6. Step 6: Final answer
    x = 2,213.35

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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.