Home / 5,214.24-7,814.34-1,924.16

Finding the Fourth Proportional to 5,214.24, 7,814.34 and 1,924.16

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Solution

The fourth proportional to 5,214.24, 7,814.34 and 1,924.16 is: 2,883.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.24 : 7,814.34 = 1,924.16 : x
  2. Step 2: Convert to fraction form
    5,214.24/7,814.34 = 1,924.16/x
  3. Step 3: Cross multiply
    5,214.24x = 7,814.34 × 1,924.16
  4. Step 4: Simplify right side
    5,214.24x = 15,036,001.38
  5. Step 5: Solve for x
    x = 15,036,001.38/5,214.24
  6. Step 6: Final answer
    x = 2,883.64

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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.