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Finding the Fourth Proportional to 3,510.70, 5,270.10 and 1,782.97

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Solution

The fourth proportional to 3,510.70, 5,270.10 and 1,782.97 is: 2,676.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.70 : 5,270.10 = 1,782.97 : x
  2. Step 2: Convert to fraction form
    3,510.70/5,270.10 = 1,782.97/x
  3. Step 3: Cross multiply
    3,510.70x = 5,270.10 × 1,782.97
  4. Step 4: Simplify right side
    3,510.70x = 9,396,455.02
  5. Step 5: Solve for x
    x = 9,396,455.02/3,510.70
  6. Step 6: Final answer
    x = 2,676.52

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1.5x scale

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.