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Finding the Fourth Proportional to 2,035.19, 3,050.95 and 938.65

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Solution

The fourth proportional to 2,035.19, 3,050.95 and 938.65 is: 1,407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.19 : 3,050.95 = 938.65 : x
  2. Step 2: Convert to fraction form
    2,035.19/3,050.95 = 938.65/x
  3. Step 3: Cross multiply
    2,035.19x = 3,050.95 × 938.65
  4. Step 4: Simplify right side
    2,035.19x = 2,863,774.22
  5. Step 5: Solve for x
    x = 2,863,774.22/2,035.19
  6. Step 6: Final answer
    x = 1,407.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.