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Finding the Fourth Proportional to 6,315.76, 8,713.20 and 4,192.32

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Solution

The fourth proportional to 6,315.76, 8,713.20 and 4,192.32 is: 5,783.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.76 : 8,713.20 = 4,192.32 : x
  2. Step 2: Convert to fraction form
    6,315.76/8,713.20 = 4,192.32/x
  3. Step 3: Cross multiply
    6,315.76x = 8,713.20 × 4,192.32
  4. Step 4: Simplify right side
    6,315.76x = 36,528,522.62
  5. Step 5: Solve for x
    x = 36,528,522.62/6,315.76
  6. Step 6: Final answer
    x = 5,783.71

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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.