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Finding the Fourth Proportional to 6,313.70, 9,449.48 and 4,749.90

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Solution

The fourth proportional to 6,313.70, 9,449.48 and 4,749.90 is: 7,109.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.70 : 9,449.48 = 4,749.90 : x
  2. Step 2: Convert to fraction form
    6,313.70/9,449.48 = 4,749.90/x
  3. Step 3: Cross multiply
    6,313.70x = 9,449.48 × 4,749.90
  4. Step 4: Simplify right side
    6,313.70x = 44,884,085.05
  5. Step 5: Solve for x
    x = 44,884,085.05/6,313.70
  6. Step 6: Final answer
    x = 7,109.00

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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.