Home / 7,830.56-11,743.04-2,282.81

Finding the Fourth Proportional to 7,830.56, 11,743.04 and 2,282.81

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Solution

The fourth proportional to 7,830.56, 11,743.04 and 2,282.81 is: 3,423.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.56 : 11,743.04 = 2,282.81 : x
  2. Step 2: Convert to fraction form
    7,830.56/11,743.04 = 2,282.81/x
  3. Step 3: Cross multiply
    7,830.56x = 11,743.04 × 2,282.81
  4. Step 4: Simplify right side
    7,830.56x = 26,807,076.13
  5. Step 5: Solve for x
    x = 26,807,076.13/7,830.56
  6. Step 6: Final answer
    x = 3,423.39

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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.