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Finding the Fourth Proportional to 6,478.84, 9,718.22 and 2,778.67

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Solution

The fourth proportional to 6,478.84, 9,718.22 and 2,778.67 is: 4,167.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.84 : 9,718.22 = 2,778.67 : x
  2. Step 2: Convert to fraction form
    6,478.84/9,718.22 = 2,778.67/x
  3. Step 3: Cross multiply
    6,478.84x = 9,718.22 × 2,778.67
  4. Step 4: Simplify right side
    6,478.84x = 27,003,663.88
  5. Step 5: Solve for x
    x = 27,003,663.88/6,478.84
  6. Step 6: Final answer
    x = 4,167.98

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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.