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Finding the Fourth Proportional to 3,012.84, 4,157.91 and 1,686.65

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Solution

The fourth proportional to 3,012.84, 4,157.91 and 1,686.65 is: 2,327.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.84 : 4,157.91 = 1,686.65 : x
  2. Step 2: Convert to fraction form
    3,012.84/4,157.91 = 1,686.65/x
  3. Step 3: Cross multiply
    3,012.84x = 4,157.91 × 1,686.65
  4. Step 4: Simplify right side
    3,012.84x = 7,012,938.90
  5. Step 5: Solve for x
    x = 7,012,938.90/3,012.84
  6. Step 6: Final answer
    x = 2,327.68

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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.