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Finding the Fourth Proportional to 5,191.68, 7,164.24 and 3,038.88

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Solution

The fourth proportional to 5,191.68, 7,164.24 and 3,038.88 is: 4,193.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.68 : 7,164.24 = 3,038.88 : x
  2. Step 2: Convert to fraction form
    5,191.68/7,164.24 = 3,038.88/x
  3. Step 3: Cross multiply
    5,191.68x = 7,164.24 × 3,038.88
  4. Step 4: Simplify right side
    5,191.68x = 21,771,265.65
  5. Step 5: Solve for x
    x = 21,771,265.65/5,191.68
  6. Step 6: Final answer
    x = 4,193.49

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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.