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Finding the Fourth Proportional to 4,977.92, 6,870.12 and 2,882.12

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Solution

The fourth proportional to 4,977.92, 6,870.12 and 2,882.12 is: 3,977.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.92 : 6,870.12 = 2,882.12 : x
  2. Step 2: Convert to fraction form
    4,977.92/6,870.12 = 2,882.12/x
  3. Step 3: Cross multiply
    4,977.92x = 6,870.12 × 2,882.12
  4. Step 4: Simplify right side
    4,977.92x = 19,800,510.25
  5. Step 5: Solve for x
    x = 19,800,510.25/4,977.92
  6. Step 6: Final answer
    x = 3,977.67

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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.