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Finding the Fourth Proportional to 6,315.54, 9,472.38 and 2,155.68

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Solution

The fourth proportional to 6,315.54, 9,472.38 and 2,155.68 is: 3,233.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.54 : 9,472.38 = 2,155.68 : x
  2. Step 2: Convert to fraction form
    6,315.54/9,472.38 = 2,155.68/x
  3. Step 3: Cross multiply
    6,315.54x = 9,472.38 × 2,155.68
  4. Step 4: Simplify right side
    6,315.54x = 20,419,420.12
  5. Step 5: Solve for x
    x = 20,419,420.12/6,315.54
  6. Step 6: Final answer
    x = 3,233.20

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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.