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Finding the Fourth Proportional to 2,762.72, 3,812.44 and 1,503.78

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Solution

The fourth proportional to 2,762.72, 3,812.44 and 1,503.78 is: 2,075.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.72 : 3,812.44 = 1,503.78 : x
  2. Step 2: Convert to fraction form
    2,762.72/3,812.44 = 1,503.78/x
  3. Step 3: Cross multiply
    2,762.72x = 3,812.44 × 1,503.78
  4. Step 4: Simplify right side
    2,762.72x = 5,733,077.44
  5. Step 5: Solve for x
    x = 5,733,077.44/2,762.72
  6. Step 6: Final answer
    x = 2,075.16

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1.5x scale

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.