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Finding the Fourth Proportional to 1,675.76, 2,497.66 and 1,636.88

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Solution

The fourth proportional to 1,675.76, 2,497.66 and 1,636.88 is: 2,439.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.76 : 2,497.66 = 1,636.88 : x
  2. Step 2: Convert to fraction form
    1,675.76/2,497.66 = 1,636.88/x
  3. Step 3: Cross multiply
    1,675.76x = 2,497.66 × 1,636.88
  4. Step 4: Simplify right side
    1,675.76x = 4,088,369.70
  5. Step 5: Solve for x
    x = 4,088,369.70/1,675.76
  6. Step 6: Final answer
    x = 2,439.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.