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Finding the Fourth Proportional to 5,763.12, 8,642.63 and 3,915.78

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Solution

The fourth proportional to 5,763.12, 8,642.63 and 3,915.78 is: 5,872.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.12 : 8,642.63 = 3,915.78 : x
  2. Step 2: Convert to fraction form
    5,763.12/8,642.63 = 3,915.78/x
  3. Step 3: Cross multiply
    5,763.12x = 8,642.63 × 3,915.78
  4. Step 4: Simplify right side
    5,763.12x = 33,842,615.08
  5. Step 5: Solve for x
    x = 33,842,615.08/5,763.12
  6. Step 6: Final answer
    x = 5,872.28

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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.