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Finding the Fourth Proportional to 13,424.32, 18,525.44 and 7,456

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Solution

The fourth proportional to 13,424.32, 18,525.44 and 7,456 is: 10,289.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,424.32 : 18,525.44 = 7,456 : x
  2. Step 2: Convert to fraction form
    13,424.32/18,525.44 = 7,456/x
  3. Step 3: Cross multiply
    13,424.32x = 18,525.44 × 7,456
  4. Step 4: Simplify right side
    13,424.32x = 138,125,680.64
  5. Step 5: Solve for x
    x = 138,125,680.64/13,424.32
  6. Step 6: Final answer
    x = 10,289.21

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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.