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Finding the Fourth Proportional to 10,959.12, 16,438.80 and 3,168

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Solution

The fourth proportional to 10,959.12, 16,438.80 and 3,168 is: 4,752.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959.12 : 16,438.80 = 3,168 : x
  2. Step 2: Convert to fraction form
    10,959.12/16,438.80 = 3,168/x
  3. Step 3: Cross multiply
    10,959.12x = 16,438.80 × 3,168
  4. Step 4: Simplify right side
    10,959.12x = 52,078,118.40
  5. Step 5: Solve for x
    x = 52,078,118.40/10,959.12
  6. Step 6: Final answer
    x = 4,752.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.