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Finding the Fourth Proportional to 2,603.21, 3,901.50 and 1,874.21

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Solution

The fourth proportional to 2,603.21, 3,901.50 and 1,874.21 is: 2,808.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.21 : 3,901.50 = 1,874.21 : x
  2. Step 2: Convert to fraction form
    2,603.21/3,901.50 = 1,874.21/x
  3. Step 3: Cross multiply
    2,603.21x = 3,901.50 × 1,874.21
  4. Step 4: Simplify right side
    2,603.21x = 7,312,210.81
  5. Step 5: Solve for x
    x = 7,312,210.81/2,603.21
  6. Step 6: Final answer
    x = 2,808.93

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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.