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Finding the Fourth Proportional to 2,855.19, 4,283.34 and 907.02

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Solution

The fourth proportional to 2,855.19, 4,283.34 and 907.02 is: 1,360.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.19 : 4,283.34 = 907.02 : x
  2. Step 2: Convert to fraction form
    2,855.19/4,283.34 = 907.02/x
  3. Step 3: Cross multiply
    2,855.19x = 4,283.34 × 907.02
  4. Step 4: Simplify right side
    2,855.19x = 3,885,075.05
  5. Step 5: Solve for x
    x = 3,885,075.05/2,855.19
  6. Step 6: Final answer
    x = 1,360.71

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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.