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Finding the Fourth Proportional to 8,315, 11,474.72 and 4,589

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Solution

The fourth proportional to 8,315, 11,474.72 and 4,589 is: 6,332.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315 : 11,474.72 = 4,589 : x
  2. Step 2: Convert to fraction form
    8,315/11,474.72 = 4,589/x
  3. Step 3: Cross multiply
    8,315x = 11,474.72 × 4,589
  4. Step 4: Simplify right side
    8,315x = 52,657,467.14
  5. Step 5: Solve for x
    x = 52,657,467.14/8,315
  6. Step 6: Final answer
    x = 6,332.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.