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Finding the Fourth Proportional to 5,705.88, 8,539.35 and 4,782.48

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Solution

The fourth proportional to 5,705.88, 8,539.35 and 4,782.48 is: 7,157.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.88 : 8,539.35 = 4,782.48 : x
  2. Step 2: Convert to fraction form
    5,705.88/8,539.35 = 4,782.48/x
  3. Step 3: Cross multiply
    5,705.88x = 8,539.35 × 4,782.48
  4. Step 4: Simplify right side
    5,705.88x = 40,839,270.59
  5. Step 5: Solve for x
    x = 40,839,270.59/5,705.88
  6. Step 6: Final answer
    x = 7,157.40

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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.