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Finding the Fourth Proportional to 5,646, 8,460.80 and 4,005.75

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Solution

The fourth proportional to 5,646, 8,460.80 and 4,005.75 is: 6,002.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646 : 8,460.80 = 4,005.75 : x
  2. Step 2: Convert to fraction form
    5,646/8,460.80 = 4,005.75/x
  3. Step 3: Cross multiply
    5,646x = 8,460.80 × 4,005.75
  4. Step 4: Simplify right side
    5,646x = 33,891,849.60
  5. Step 5: Solve for x
    x = 33,891,849.60/5,646
  6. Step 6: Final answer
    x = 6,002.81

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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.