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Finding the Fourth Proportional to 6,649.74, 9,955.31 and 3,867.93

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Solution

The fourth proportional to 6,649.74, 9,955.31 and 3,867.93 is: 5,790.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.74 : 9,955.31 = 3,867.93 : x
  2. Step 2: Convert to fraction form
    6,649.74/9,955.31 = 3,867.93/x
  3. Step 3: Cross multiply
    6,649.74x = 9,955.31 × 3,867.93
  4. Step 4: Simplify right side
    6,649.74x = 38,506,422.87
  5. Step 5: Solve for x
    x = 38,506,422.87/6,649.74
  6. Step 6: Final answer
    x = 5,790.67

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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.