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Finding the Fourth Proportional to 3,585.81, 5,379.71 and 1,505.32

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Solution

The fourth proportional to 3,585.81, 5,379.71 and 1,505.32 is: 2,258.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.81 : 5,379.71 = 1,505.32 : x
  2. Step 2: Convert to fraction form
    3,585.81/5,379.71 = 1,505.32/x
  3. Step 3: Cross multiply
    3,585.81x = 5,379.71 × 1,505.32
  4. Step 4: Simplify right side
    3,585.81x = 8,098,185.06
  5. Step 5: Solve for x
    x = 8,098,185.06/3,585.81
  6. Step 6: Final answer
    x = 2,258.40

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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.