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Finding the Fourth Proportional to 3,506.80, 5,257.80 and 1,658.80

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Solution

The fourth proportional to 3,506.80, 5,257.80 and 1,658.80 is: 2,487.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.80 : 5,257.80 = 1,658.80 : x
  2. Step 2: Convert to fraction form
    3,506.80/5,257.80 = 1,658.80/x
  3. Step 3: Cross multiply
    3,506.80x = 5,257.80 × 1,658.80
  4. Step 4: Simplify right side
    3,506.80x = 8,721,638.64
  5. Step 5: Solve for x
    x = 8,721,638.64/3,506.80
  6. Step 6: Final answer
    x = 2,487.06

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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.