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Finding the Fourth Proportional to 3,472.88, 4,792.58 and 1,980.78

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Solution

The fourth proportional to 3,472.88, 4,792.58 and 1,980.78 is: 2,733.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.88 : 4,792.58 = 1,980.78 : x
  2. Step 2: Convert to fraction form
    3,472.88/4,792.58 = 1,980.78/x
  3. Step 3: Cross multiply
    3,472.88x = 4,792.58 × 1,980.78
  4. Step 4: Simplify right side
    3,472.88x = 9,493,037.31
  5. Step 5: Solve for x
    x = 9,493,037.31/3,472.88
  6. Step 6: Final answer
    x = 2,733.48

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1.5x scale

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.