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Finding the Fourth Proportional to 2,075.40, 3,094.50 and 2,038.50

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Solution

The fourth proportional to 2,075.40, 3,094.50 and 2,038.50 is: 3,039.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.40 : 3,094.50 = 2,038.50 : x
  2. Step 2: Convert to fraction form
    2,075.40/3,094.50 = 2,038.50/x
  3. Step 3: Cross multiply
    2,075.40x = 3,094.50 × 2,038.50
  4. Step 4: Simplify right side
    2,075.40x = 6,308,138.25
  5. Step 5: Solve for x
    x = 6,308,138.25/2,075.40
  6. Step 6: Final answer
    x = 3,039.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.