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Finding the Fourth Proportional to 7,417, 10,235.94 and 4,105

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Solution

The fourth proportional to 7,417, 10,235.94 and 4,105 is: 5,665.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,417 : 10,235.94 = 4,105 : x
  2. Step 2: Convert to fraction form
    7,417/10,235.94 = 4,105/x
  3. Step 3: Cross multiply
    7,417x = 10,235.94 × 4,105
  4. Step 4: Simplify right side
    7,417x = 42,018,533.70
  5. Step 5: Solve for x
    x = 42,018,533.70/7,417
  6. Step 6: Final answer
    x = 5,665.17

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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.