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Finding the Fourth Proportional to 6,315.48, 9,453.78 and 4,119.48

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Solution

The fourth proportional to 6,315.48, 9,453.78 and 4,119.48 is: 6,166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.48 : 9,453.78 = 4,119.48 : x
  2. Step 2: Convert to fraction form
    6,315.48/9,453.78 = 4,119.48/x
  3. Step 3: Cross multiply
    6,315.48x = 9,453.78 × 4,119.48
  4. Step 4: Simplify right side
    6,315.48x = 38,944,657.63
  5. Step 5: Solve for x
    x = 38,944,657.63/6,315.48
  6. Step 6: Final answer
    x = 6,166.54

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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.