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Finding the Fourth Proportional to 13,080, 19,628.64 and 4,872

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Solution

The fourth proportional to 13,080, 19,628.64 and 4,872 is: 7,311.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,080 : 19,628.64 = 4,872 : x
  2. Step 2: Convert to fraction form
    13,080/19,628.64 = 4,872/x
  3. Step 3: Cross multiply
    13,080x = 19,628.64 × 4,872
  4. Step 4: Simplify right side
    13,080x = 95,630,734.08
  5. Step 5: Solve for x
    x = 95,630,734.08/13,080
  6. Step 6: Final answer
    x = 7,311.22

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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.