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Finding the Fourth Proportional to 1,395.95, 2,090.84 and 874.25

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Solution

The fourth proportional to 1,395.95, 2,090.84 and 874.25 is: 1,309.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.95 : 2,090.84 = 874.25 : x
  2. Step 2: Convert to fraction form
    1,395.95/2,090.84 = 874.25/x
  3. Step 3: Cross multiply
    1,395.95x = 2,090.84 × 874.25
  4. Step 4: Simplify right side
    1,395.95x = 1,827,902.04
  5. Step 5: Solve for x
    x = 1,827,902.04/1,395.95
  6. Step 6: Final answer
    x = 1,309.44

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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.