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Finding the Fourth Proportional to 7,415, 10,232.70 and 4,103

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Solution

The fourth proportional to 7,415, 10,232.70 and 4,103 is: 5,662.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415 : 10,232.70 = 4,103 : x
  2. Step 2: Convert to fraction form
    7,415/10,232.70 = 4,103/x
  3. Step 3: Cross multiply
    7,415x = 10,232.70 × 4,103
  4. Step 4: Simplify right side
    7,415x = 41,984,768.10
  5. Step 5: Solve for x
    x = 41,984,768.10/7,415
  6. Step 6: Final answer
    x = 5,662.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.