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Finding the Fourth Proportional to 6,315.91, 9,475.99 and 3,973.19

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Solution

The fourth proportional to 6,315.91, 9,475.99 and 3,973.19 is: 5,961.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.91 : 9,475.99 = 3,973.19 : x
  2. Step 2: Convert to fraction form
    6,315.91/9,475.99 = 3,973.19/x
  3. Step 3: Cross multiply
    6,315.91x = 9,475.99 × 3,973.19
  4. Step 4: Simplify right side
    6,315.91x = 37,649,851.40
  5. Step 5: Solve for x
    x = 37,649,851.40/6,315.91
  6. Step 6: Final answer
    x = 5,961.12

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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.