Home / 9,726-13,415.76-6,741.92

Finding the Fourth Proportional to 9,726, 13,415.76 and 6,741.92

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Solution

The fourth proportional to 9,726, 13,415.76 and 6,741.92 is: 9,299.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726 : 13,415.76 = 6,741.92 : x
  2. Step 2: Convert to fraction form
    9,726/13,415.76 = 6,741.92/x
  3. Step 3: Cross multiply
    9,726x = 13,415.76 × 6,741.92
  4. Step 4: Simplify right side
    9,726x = 90,447,980.66
  5. Step 5: Solve for x
    x = 90,447,980.66/9,726
  6. Step 6: Final answer
    x = 9,299.61

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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.