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Finding the Fourth Proportional to 15,048, 20,771.10 and 9,459

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Solution

The fourth proportional to 15,048, 20,771.10 and 9,459 is: 13,056.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,048 : 20,771.10 = 9,459 : x
  2. Step 2: Convert to fraction form
    15,048/20,771.10 = 9,459/x
  3. Step 3: Cross multiply
    15,048x = 20,771.10 × 9,459
  4. Step 4: Simplify right side
    15,048x = 196,473,834.90
  5. Step 5: Solve for x
    x = 196,473,834.90/15,048
  6. Step 6: Final answer
    x = 13,056.47

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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.