Home / 10,094-13,929.72-5,902.28

Finding the Fourth Proportional to 10,094, 13,929.72 and 5,902.28

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Solution

The fourth proportional to 10,094, 13,929.72 and 5,902.28 is: 8,145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094 : 13,929.72 = 5,902.28 : x
  2. Step 2: Convert to fraction form
    10,094/13,929.72 = 5,902.28/x
  3. Step 3: Cross multiply
    10,094x = 13,929.72 × 5,902.28
  4. Step 4: Simplify right side
    10,094x = 82,217,107.76
  5. Step 5: Solve for x
    x = 82,217,107.76/10,094
  6. Step 6: Final answer
    x = 8,145.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.