Home / 5,214.40-7,821.64-2,052.16

Finding the Fourth Proportional to 5,214.40, 7,821.64 and 2,052.16

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Solution

The fourth proportional to 5,214.40, 7,821.64 and 2,052.16 is: 3,078.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.40 : 7,821.64 = 2,052.16 : x
  2. Step 2: Convert to fraction form
    5,214.40/7,821.64 = 2,052.16/x
  3. Step 3: Cross multiply
    5,214.40x = 7,821.64 × 2,052.16
  4. Step 4: Simplify right side
    5,214.40x = 16,051,239.75
  5. Step 5: Solve for x
    x = 16,051,239.75/5,214.40
  6. Step 6: Final answer
    x = 3,078.25

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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.