Home / 7,823.10-11,730.81-3,869.79

Finding the Fourth Proportional to 7,823.10, 11,730.81 and 3,869.79

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Solution

The fourth proportional to 7,823.10, 11,730.81 and 3,869.79 is: 5,802.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.10 : 11,730.81 = 3,869.79 : x
  2. Step 2: Convert to fraction form
    7,823.10/11,730.81 = 3,869.79/x
  3. Step 3: Cross multiply
    7,823.10x = 11,730.81 × 3,869.79
  4. Step 4: Simplify right side
    7,823.10x = 45,395,771.23
  5. Step 5: Solve for x
    x = 45,395,771.23/7,823.10
  6. Step 6: Final answer
    x = 5,802.79

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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.