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Finding the Fourth Proportional to 2,738.64, 3,774.72 and 2,075.28

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Solution

The fourth proportional to 2,738.64, 3,774.72 and 2,075.28 is: 2,860.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.64 : 3,774.72 = 2,075.28 : x
  2. Step 2: Convert to fraction form
    2,738.64/3,774.72 = 2,075.28/x
  3. Step 3: Cross multiply
    2,738.64x = 3,774.72 × 2,075.28
  4. Step 4: Simplify right side
    2,738.64x = 7,833,600.92
  5. Step 5: Solve for x
    x = 7,833,600.92/2,738.64
  6. Step 6: Final answer
    x = 2,860.40

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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.