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Finding the Fourth Proportional to 4,989.64, 7,477.74 and 2,763.23

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Solution

The fourth proportional to 4,989.64, 7,477.74 and 2,763.23 is: 4,141.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,989.64 : 7,477.74 = 2,763.23 : x
  2. Step 2: Convert to fraction form
    4,989.64/7,477.74 = 2,763.23/x
  3. Step 3: Cross multiply
    4,989.64x = 7,477.74 × 2,763.23
  4. Step 4: Simplify right side
    4,989.64x = 20,662,715.50
  5. Step 5: Solve for x
    x = 20,662,715.50/4,989.64
  6. Step 6: Final answer
    x = 4,141.12

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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.