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Finding the Fourth Proportional to 1,885.80, 2,599.50 and 1,486.70

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Solution

The fourth proportional to 1,885.80, 2,599.50 and 1,486.70 is: 2,049.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.80 : 2,599.50 = 1,486.70 : x
  2. Step 2: Convert to fraction form
    1,885.80/2,599.50 = 1,486.70/x
  3. Step 3: Cross multiply
    1,885.80x = 2,599.50 × 1,486.70
  4. Step 4: Simplify right side
    1,885.80x = 3,864,676.65
  5. Step 5: Solve for x
    x = 3,864,676.65/1,885.80
  6. Step 6: Final answer
    x = 2,049.36

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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.