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Finding the Fourth Proportional to 5,642.50, 7,784.85 and 3,654.58

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Solution

The fourth proportional to 5,642.50, 7,784.85 and 3,654.58 is: 5,042.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.50 : 7,784.85 = 3,654.58 : x
  2. Step 2: Convert to fraction form
    5,642.50/7,784.85 = 3,654.58/x
  3. Step 3: Cross multiply
    5,642.50x = 7,784.85 × 3,654.58
  4. Step 4: Simplify right side
    5,642.50x = 28,450,357.11
  5. Step 5: Solve for x
    x = 28,450,357.11/5,642.50
  6. Step 6: Final answer
    x = 5,042.15

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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.