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Finding the Fourth Proportional to 15,512, 21,406.28 and 8,438.32

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Solution

The fourth proportional to 15,512, 21,406.28 and 8,438.32 is: 11,644.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,512 : 21,406.28 = 8,438.32 : x
  2. Step 2: Convert to fraction form
    15,512/21,406.28 = 8,438.32/x
  3. Step 3: Cross multiply
    15,512x = 21,406.28 × 8,438.32
  4. Step 4: Simplify right side
    15,512x = 180,633,040.65
  5. Step 5: Solve for x
    x = 180,633,040.65/15,512
  6. Step 6: Final answer
    x = 11,644.73

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1.5x scale

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.