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Finding the Fourth Proportional to 5,765.90, 8,650.06 and 1,870

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Solution

The fourth proportional to 5,765.90, 8,650.06 and 1,870 is: 2,805.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.90 : 8,650.06 = 1,870 : x
  2. Step 2: Convert to fraction form
    5,765.90/8,650.06 = 1,870/x
  3. Step 3: Cross multiply
    5,765.90x = 8,650.06 × 1,870
  4. Step 4: Simplify right side
    5,765.90x = 16,175,616.88
  5. Step 5: Solve for x
    x = 16,175,616.88/5,765.90
  6. Step 6: Final answer
    x = 2,805.39

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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.