Home / 7,830.10-11,743.10-2,281.96

Finding the Fourth Proportional to 7,830.10, 11,743.10 and 2,281.96

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Solution

The fourth proportional to 7,830.10, 11,743.10 and 2,281.96 is: 3,422.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.10 : 11,743.10 = 2,281.96 : x
  2. Step 2: Convert to fraction form
    7,830.10/11,743.10 = 2,281.96/x
  3. Step 3: Cross multiply
    7,830.10x = 11,743.10 × 2,281.96
  4. Step 4: Simplify right side
    7,830.10x = 26,797,284.48
  5. Step 5: Solve for x
    x = 26,797,284.48/7,830.10
  6. Step 6: Final answer
    x = 3,422.34

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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.