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Finding the Fourth Proportional to 7,310.98, 10,091.28 and 4,657.42

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Solution

The fourth proportional to 7,310.98, 10,091.28 and 4,657.42 is: 6,428.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.98 : 10,091.28 = 4,657.42 : x
  2. Step 2: Convert to fraction form
    7,310.98/10,091.28 = 4,657.42/x
  3. Step 3: Cross multiply
    7,310.98x = 10,091.28 × 4,657.42
  4. Step 4: Simplify right side
    7,310.98x = 46,999,329.30
  5. Step 5: Solve for x
    x = 46,999,329.30/7,310.98
  6. Step 6: Final answer
    x = 6,428.59

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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.