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Finding the Fourth Proportional to 10,406.88, 14,340.24 and 7,416.36

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Solution

The fourth proportional to 10,406.88, 14,340.24 and 7,416.36 is: 10,219.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.88 : 14,340.24 = 7,416.36 : x
  2. Step 2: Convert to fraction form
    10,406.88/14,340.24 = 7,416.36/x
  3. Step 3: Cross multiply
    10,406.88x = 14,340.24 × 7,416.36
  4. Step 4: Simplify right side
    10,406.88x = 106,352,382.33
  5. Step 5: Solve for x
    x = 106,352,382.33/10,406.88
  6. Step 6: Final answer
    x = 10,219.43

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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.