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Finding the Fourth Proportional to 6,312.86, 9,469.29 and 3,999.50

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Solution

The fourth proportional to 6,312.86, 9,469.29 and 3,999.50 is: 5,999.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.86 : 9,469.29 = 3,999.50 : x
  2. Step 2: Convert to fraction form
    6,312.86/9,469.29 = 3,999.50/x
  3. Step 3: Cross multiply
    6,312.86x = 9,469.29 × 3,999.50
  4. Step 4: Simplify right side
    6,312.86x = 37,872,425.36
  5. Step 5: Solve for x
    x = 37,872,425.36/6,312.86
  6. Step 6: Final answer
    x = 5,999.25

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1.5x scale

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.