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Finding the Fourth Proportional to 1,903.10, 2,855.01 and 977.90

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Solution

The fourth proportional to 1,903.10, 2,855.01 and 977.90 is: 1,467.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.10 : 2,855.01 = 977.90 : x
  2. Step 2: Convert to fraction form
    1,903.10/2,855.01 = 977.90/x
  3. Step 3: Cross multiply
    1,903.10x = 2,855.01 × 977.90
  4. Step 4: Simplify right side
    1,903.10x = 2,791,914.28
  5. Step 5: Solve for x
    x = 2,791,914.28/1,903.10
  6. Step 6: Final answer
    x = 1,467.03

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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.