Home / 5,724-8,585.73-1,827.90

Finding the Fourth Proportional to 5,724, 8,585.73 and 1,827.90

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Solution

The fourth proportional to 5,724, 8,585.73 and 1,827.90 is: 2,741.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724 : 8,585.73 = 1,827.90 : x
  2. Step 2: Convert to fraction form
    5,724/8,585.73 = 1,827.90/x
  3. Step 3: Cross multiply
    5,724x = 8,585.73 × 1,827.90
  4. Step 4: Simplify right side
    5,724x = 15,693,855.87
  5. Step 5: Solve for x
    x = 15,693,855.87/5,724
  6. Step 6: Final answer
    x = 2,741.76

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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.