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Finding the Fourth Proportional to 6,489, 9,739.98 and 4,739.40

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Solution

The fourth proportional to 6,489, 9,739.98 and 4,739.40 is: 7,113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489 : 9,739.98 = 4,739.40 : x
  2. Step 2: Convert to fraction form
    6,489/9,739.98 = 4,739.40/x
  3. Step 3: Cross multiply
    6,489x = 9,739.98 × 4,739.40
  4. Step 4: Simplify right side
    6,489x = 46,161,661.21
  5. Step 5: Solve for x
    x = 46,161,661.21/6,489
  6. Step 6: Final answer
    x = 7,113.83

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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.