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Finding the Fourth Proportional to 2,560, 3,840 and 736

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Solution

The fourth proportional to 2,560, 3,840 and 736 is: 1,104

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560 : 3,840 = 736 : x
  2. Step 2: Convert to fraction form
    2,560/3,840 = 736/x
  3. Step 3: Cross multiply
    2,560x = 3,840 × 736
  4. Step 4: Simplify right side
    2,560x = 2,826,240
  5. Step 5: Solve for x
    x = 2,826,240/2,560
  6. Step 6: Final answer
    x = 1,104

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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.