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Finding the Fourth Proportional to 2,560, 3,532.80 and 1,456

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Solution

The fourth proportional to 2,560, 3,532.80 and 1,456 is: 2,009.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560 : 3,532.80 = 1,456 : x
  2. Step 2: Convert to fraction form
    2,560/3,532.80 = 1,456/x
  3. Step 3: Cross multiply
    2,560x = 3,532.80 × 1,456
  4. Step 4: Simplify right side
    2,560x = 5,143,756.80
  5. Step 5: Solve for x
    x = 5,143,756.80/2,560
  6. Step 6: Final answer
    x = 2,009.28

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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.