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Finding the Fourth Proportional to 2,334.69, 3,502.41 and 948.15

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Solution

The fourth proportional to 2,334.69, 3,502.41 and 948.15 is: 1,422.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.69 : 3,502.41 = 948.15 : x
  2. Step 2: Convert to fraction form
    2,334.69/3,502.41 = 948.15/x
  3. Step 3: Cross multiply
    2,334.69x = 3,502.41 × 948.15
  4. Step 4: Simplify right side
    2,334.69x = 3,320,813.60
  5. Step 5: Solve for x
    x = 3,320,813.60/2,334.69
  6. Step 6: Final answer
    x = 1,422.38

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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.