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Finding the Fourth Proportional to 7,310.32, 10,969.94 and 3,415

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Solution

The fourth proportional to 7,310.32, 10,969.94 and 3,415 is: 5,124.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.32 : 10,969.94 = 3,415 : x
  2. Step 2: Convert to fraction form
    7,310.32/10,969.94 = 3,415/x
  3. Step 3: Cross multiply
    7,310.32x = 10,969.94 × 3,415
  4. Step 4: Simplify right side
    7,310.32x = 37,462,345.10
  5. Step 5: Solve for x
    x = 37,462,345.10/7,310.32
  6. Step 6: Final answer
    x = 5,124.58

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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.