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Finding the Fourth Proportional to 6,711.76, 9,271.57 and 6,383.72

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Solution

The fourth proportional to 6,711.76, 9,271.57 and 6,383.72 is: 8,818.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.76 : 9,271.57 = 6,383.72 : x
  2. Step 2: Convert to fraction form
    6,711.76/9,271.57 = 6,383.72/x
  3. Step 3: Cross multiply
    6,711.76x = 9,271.57 × 6,383.72
  4. Step 4: Simplify right side
    6,711.76x = 59,187,106.84
  5. Step 5: Solve for x
    x = 59,187,106.84/6,711.76
  6. Step 6: Final answer
    x = 8,818.42

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Half scale
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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.