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Finding the Fourth Proportional to 7,279.74, 10,046.12 and 5,688.23

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Solution

The fourth proportional to 7,279.74, 10,046.12 and 5,688.23 is: 7,849.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,279.74 : 10,046.12 = 5,688.23 : x
  2. Step 2: Convert to fraction form
    7,279.74/10,046.12 = 5,688.23/x
  3. Step 3: Cross multiply
    7,279.74x = 10,046.12 × 5,688.23
  4. Step 4: Simplify right side
    7,279.74x = 57,144,562.50
  5. Step 5: Solve for x
    x = 57,144,562.50/7,279.74
  6. Step 6: Final answer
    x = 7,849.81

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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.