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Finding the Fourth Proportional to 19,872, 29,808.72 and 6,021

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Solution

The fourth proportional to 19,872, 29,808.72 and 6,021 is: 9,031.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,872 : 29,808.72 = 6,021 : x
  2. Step 2: Convert to fraction form
    19,872/29,808.72 = 6,021/x
  3. Step 3: Cross multiply
    19,872x = 29,808.72 × 6,021
  4. Step 4: Simplify right side
    19,872x = 179,478,303.12
  5. Step 5: Solve for x
    x = 179,478,303.12/19,872
  6. Step 6: Final answer
    x = 9,031.72

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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.