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Finding the Fourth Proportional to 2,969.76, 4,455.24 and 2,045.76

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Solution

The fourth proportional to 2,969.76, 4,455.24 and 2,045.76 is: 3,069.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.76 : 4,455.24 = 2,045.76 : x
  2. Step 2: Convert to fraction form
    2,969.76/4,455.24 = 2,045.76/x
  3. Step 3: Cross multiply
    2,969.76x = 4,455.24 × 2,045.76
  4. Step 4: Simplify right side
    2,969.76x = 9,114,351.78
  5. Step 5: Solve for x
    x = 9,114,351.78/2,969.76
  6. Step 6: Final answer
    x = 3,069.05

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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.