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Finding the Fourth Proportional to 7,274.92, 10,038.18 and 4,129.96

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Solution

The fourth proportional to 7,274.92, 10,038.18 and 4,129.96 is: 5,698.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,274.92 : 10,038.18 = 4,129.96 : x
  2. Step 2: Convert to fraction form
    7,274.92/10,038.18 = 4,129.96/x
  3. Step 3: Cross multiply
    7,274.92x = 10,038.18 × 4,129.96
  4. Step 4: Simplify right side
    7,274.92x = 41,457,281.87
  5. Step 5: Solve for x
    x = 41,457,281.87/7,274.92
  6. Step 6: Final answer
    x = 5,698.66

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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.