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Finding the Fourth Proportional to 1,681.85, 2,519.12 and 1,590.87

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Solution

The fourth proportional to 1,681.85, 2,519.12 and 1,590.87 is: 2,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.85 : 2,519.12 = 1,590.87 : x
  2. Step 2: Convert to fraction form
    1,681.85/2,519.12 = 1,590.87/x
  3. Step 3: Cross multiply
    1,681.85x = 2,519.12 × 1,590.87
  4. Step 4: Simplify right side
    1,681.85x = 4,007,584.48
  5. Step 5: Solve for x
    x = 4,007,584.48/1,681.85
  6. Step 6: Final answer
    x = 2,382.85

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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.