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Finding the Fourth Proportional to 2,969.84, 4,098.24 and 1,790.64

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Solution

The fourth proportional to 2,969.84, 4,098.24 and 1,790.64 is: 2,471.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.84 : 4,098.24 = 1,790.64 : x
  2. Step 2: Convert to fraction form
    2,969.84/4,098.24 = 1,790.64/x
  3. Step 3: Cross multiply
    2,969.84x = 4,098.24 × 1,790.64
  4. Step 4: Simplify right side
    2,969.84x = 7,338,472.47
  5. Step 5: Solve for x
    x = 7,338,472.47/2,969.84
  6. Step 6: Final answer
    x = 2,471.00

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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.