Home / 10,119.60-13,969.48-6,142

Finding the Fourth Proportional to 10,119.60, 13,969.48 and 6,142

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Solution

The fourth proportional to 10,119.60, 13,969.48 and 6,142 is: 8,478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,119.60 : 13,969.48 = 6,142 : x
  2. Step 2: Convert to fraction form
    10,119.60/13,969.48 = 6,142/x
  3. Step 3: Cross multiply
    10,119.60x = 13,969.48 × 6,142
  4. Step 4: Simplify right side
    10,119.60x = 85,800,546.16
  5. Step 5: Solve for x
    x = 85,800,546.16/10,119.60
  6. Step 6: Final answer
    x = 8,478.65

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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.