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Finding the Fourth Proportional to 8,306.10, 11,445.06 and 5,648.88

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Solution

The fourth proportional to 8,306.10, 11,445.06 and 5,648.88 is: 7,783.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.10 : 11,445.06 = 5,648.88 : x
  2. Step 2: Convert to fraction form
    8,306.10/11,445.06 = 5,648.88/x
  3. Step 3: Cross multiply
    8,306.10x = 11,445.06 × 5,648.88
  4. Step 4: Simplify right side
    8,306.10x = 64,651,770.53
  5. Step 5: Solve for x
    x = 64,651,770.53/8,306.10
  6. Step 6: Final answer
    x = 7,783.65

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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.