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Finding the Fourth Proportional to 2,075.90, 3,114.70 and 842.98

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Solution

The fourth proportional to 2,075.90, 3,114.70 and 842.98 is: 1,264.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.90 : 3,114.70 = 842.98 : x
  2. Step 2: Convert to fraction form
    2,075.90/3,114.70 = 842.98/x
  3. Step 3: Cross multiply
    2,075.90x = 3,114.70 × 842.98
  4. Step 4: Simplify right side
    2,075.90x = 2,625,629.81
  5. Step 5: Solve for x
    x = 2,625,629.81/2,075.90
  6. Step 6: Final answer
    x = 1,264.82

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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.