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Finding the Fourth Proportional to 5,643.81, 7,788.56 and 3,285.90

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Solution

The fourth proportional to 5,643.81, 7,788.56 and 3,285.90 is: 4,534.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.81 : 7,788.56 = 3,285.90 : x
  2. Step 2: Convert to fraction form
    5,643.81/7,788.56 = 3,285.90/x
  3. Step 3: Cross multiply
    5,643.81x = 7,788.56 × 3,285.90
  4. Step 4: Simplify right side
    5,643.81x = 25,592,412.87
  5. Step 5: Solve for x
    x = 25,592,412.87/5,643.81
  6. Step 6: Final answer
    x = 4,534.60

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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.