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Finding the Fourth Proportional to 20,247, 30,389.94 and 9,866.04

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Solution

The fourth proportional to 20,247, 30,389.94 and 9,866.04 is: 14,808.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,247 : 30,389.94 = 9,866.04 : x
  2. Step 2: Convert to fraction form
    20,247/30,389.94 = 9,866.04/x
  3. Step 3: Cross multiply
    20,247x = 30,389.94 × 9,866.04
  4. Step 4: Simplify right side
    20,247x = 299,828,363.64
  5. Step 5: Solve for x
    x = 299,828,363.64/20,247
  6. Step 6: Final answer
    x = 14,808.53

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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.