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Finding the Fourth Proportional to 7,682.72, 10,602.96 and 4,539.20

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Solution

The fourth proportional to 7,682.72, 10,602.96 and 4,539.20 is: 6,264.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.72 : 10,602.96 = 4,539.20 : x
  2. Step 2: Convert to fraction form
    7,682.72/10,602.96 = 4,539.20/x
  3. Step 3: Cross multiply
    7,682.72x = 10,602.96 × 4,539.20
  4. Step 4: Simplify right side
    7,682.72x = 48,128,956.03
  5. Step 5: Solve for x
    x = 48,128,956.03/7,682.72
  6. Step 6: Final answer
    x = 6,264.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.