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Finding the Fourth Proportional to 2,321.63, 3,480.68 and 933.90

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Solution

The fourth proportional to 2,321.63, 3,480.68 and 933.90 is: 1,400.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.63 : 3,480.68 = 933.90 : x
  2. Step 2: Convert to fraction form
    2,321.63/3,480.68 = 933.90/x
  3. Step 3: Cross multiply
    2,321.63x = 3,480.68 × 933.90
  4. Step 4: Simplify right side
    2,321.63x = 3,250,602.38
  5. Step 5: Solve for x
    x = 3,250,602.38/2,321.63
  6. Step 6: Final answer
    x = 1,400.14

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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.