Home / 6,131-9,196.56-1,971.08

Finding the Fourth Proportional to 6,131, 9,196.56 and 1,971.08

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Solution

The fourth proportional to 6,131, 9,196.56 and 1,971.08 is: 2,956.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131 : 9,196.56 = 1,971.08 : x
  2. Step 2: Convert to fraction form
    6,131/9,196.56 = 1,971.08/x
  3. Step 3: Cross multiply
    6,131x = 9,196.56 × 1,971.08
  4. Step 4: Simplify right side
    6,131x = 18,127,155.48
  5. Step 5: Solve for x
    x = 18,127,155.48/6,131
  6. Step 6: Final answer
    x = 2,956.64

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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.