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Finding the Fourth Proportional to 2,075.44, 3,113.56 and 776.88

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Solution

The fourth proportional to 2,075.44, 3,113.56 and 776.88 is: 1,165.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.44 : 3,113.56 = 776.88 : x
  2. Step 2: Convert to fraction form
    2,075.44/3,113.56 = 776.88/x
  3. Step 3: Cross multiply
    2,075.44x = 3,113.56 × 776.88
  4. Step 4: Simplify right side
    2,075.44x = 2,418,862.49
  5. Step 5: Solve for x
    x = 2,418,862.49/2,075.44
  6. Step 6: Final answer
    x = 1,165.47

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1.5x scale

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.