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Finding the Fourth Proportional to 5,208.80, 7,191.51 and 4,648.31

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Solution

The fourth proportional to 5,208.80, 7,191.51 and 4,648.31 is: 6,417.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.80 : 7,191.51 = 4,648.31 : x
  2. Step 2: Convert to fraction form
    5,208.80/7,191.51 = 4,648.31/x
  3. Step 3: Cross multiply
    5,208.80x = 7,191.51 × 4,648.31
  4. Step 4: Simplify right side
    5,208.80x = 33,428,308.65
  5. Step 5: Solve for x
    x = 33,428,308.65/5,208.80
  6. Step 6: Final answer
    x = 6,417.66

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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.