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Finding the Fourth Proportional to 2,715.96, 4,074.48 and 984.72

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Solution

The fourth proportional to 2,715.96, 4,074.48 and 984.72 is: 1,477.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.96 : 4,074.48 = 984.72 : x
  2. Step 2: Convert to fraction form
    2,715.96/4,074.48 = 984.72/x
  3. Step 3: Cross multiply
    2,715.96x = 4,074.48 × 984.72
  4. Step 4: Simplify right side
    2,715.96x = 4,012,221.95
  5. Step 5: Solve for x
    x = 4,012,221.95/2,715.96
  6. Step 6: Final answer
    x = 1,477.28

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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.