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Finding the Fourth Proportional to 5,765.69, 8,648.73 and 1,870.13

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Solution

The fourth proportional to 5,765.69, 8,648.73 and 1,870.13 is: 2,805.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.69 : 8,648.73 = 1,870.13 : x
  2. Step 2: Convert to fraction form
    5,765.69/8,648.73 = 1,870.13/x
  3. Step 3: Cross multiply
    5,765.69x = 8,648.73 × 1,870.13
  4. Step 4: Simplify right side
    5,765.69x = 16,174,249.43
  5. Step 5: Solve for x
    x = 16,174,249.43/5,765.69
  6. Step 6: Final answer
    x = 2,805.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.