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Finding the Fourth Proportional to 10,828, 16,158.20 and 9,661.60

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Solution

The fourth proportional to 10,828, 16,158.20 and 9,661.60 is: 14,417.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,828 : 16,158.20 = 9,661.60 : x
  2. Step 2: Convert to fraction form
    10,828/16,158.20 = 9,661.60/x
  3. Step 3: Cross multiply
    10,828x = 16,158.20 × 9,661.60
  4. Step 4: Simplify right side
    10,828x = 156,114,065.12
  5. Step 5: Solve for x
    x = 156,114,065.12/10,828
  6. Step 6: Final answer
    x = 14,417.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.