Home / 10,120-15,179.97-7,784.17

Finding the Fourth Proportional to 10,120, 15,179.97 and 7,784.17

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Solution

The fourth proportional to 10,120, 15,179.97 and 7,784.17 is: 11,676.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,120 : 15,179.97 = 7,784.17 : x
  2. Step 2: Convert to fraction form
    10,120/15,179.97 = 7,784.17/x
  3. Step 3: Cross multiply
    10,120x = 15,179.97 × 7,784.17
  4. Step 4: Simplify right side
    10,120x = 118,163,467.07
  5. Step 5: Solve for x
    x = 118,163,467.07/10,120
  6. Step 6: Final answer
    x = 11,676.23

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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.