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Finding the Fourth Proportional to 6,228.29, 9,340.60 and 5,129.93

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Solution

The fourth proportional to 6,228.29, 9,340.60 and 5,129.93 is: 7,693.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228.29 : 9,340.60 = 5,129.93 : x
  2. Step 2: Convert to fraction form
    6,228.29/9,340.60 = 5,129.93/x
  3. Step 3: Cross multiply
    6,228.29x = 9,340.60 × 5,129.93
  4. Step 4: Simplify right side
    6,228.29x = 47,916,624.16
  5. Step 5: Solve for x
    x = 47,916,624.16/6,228.29
  6. Step 6: Final answer
    x = 7,693.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.