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Finding the Fourth Proportional to 2,318.48, 3,480.18 and 1,002.86

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Solution

The fourth proportional to 2,318.48, 3,480.18 and 1,002.86 is: 1,505.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.48 : 3,480.18 = 1,002.86 : x
  2. Step 2: Convert to fraction form
    2,318.48/3,480.18 = 1,002.86/x
  3. Step 3: Cross multiply
    2,318.48x = 3,480.18 × 1,002.86
  4. Step 4: Simplify right side
    2,318.48x = 3,490,133.31
  5. Step 5: Solve for x
    x = 3,490,133.31/2,318.48
  6. Step 6: Final answer
    x = 1,505.35

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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.