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Finding the Fourth Proportional to 4,657.99, 6,977.62 and 2,155.67

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Solution

The fourth proportional to 4,657.99, 6,977.62 and 2,155.67 is: 3,229.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.99 : 6,977.62 = 2,155.67 : x
  2. Step 2: Convert to fraction form
    4,657.99/6,977.62 = 2,155.67/x
  3. Step 3: Cross multiply
    4,657.99x = 6,977.62 × 2,155.67
  4. Step 4: Simplify right side
    4,657.99x = 15,041,446.11
  5. Step 5: Solve for x
    x = 15,041,446.11/4,657.99
  6. Step 6: Final answer
    x = 3,229.17

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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.