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Finding the Fourth Proportional to 2,782.48, 3,840 and 1,603.76

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Solution

The fourth proportional to 2,782.48, 3,840 and 1,603.76 is: 2,213.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.48 : 3,840 = 1,603.76 : x
  2. Step 2: Convert to fraction form
    2,782.48/3,840 = 1,603.76/x
  3. Step 3: Cross multiply
    2,782.48x = 3,840 × 1,603.76
  4. Step 4: Simplify right side
    2,782.48x = 6,158,438.40
  5. Step 5: Solve for x
    x = 6,158,438.40/2,782.48
  6. Step 6: Final answer
    x = 2,213.29

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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.