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Finding the Fourth Proportional to 9,464.50, 14,119.34 and 8,793.28

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Solution

The fourth proportional to 9,464.50, 14,119.34 and 8,793.28 is: 13,118.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.50 : 14,119.34 = 8,793.28 : x
  2. Step 2: Convert to fraction form
    9,464.50/14,119.34 = 8,793.28/x
  3. Step 3: Cross multiply
    9,464.50x = 14,119.34 × 8,793.28
  4. Step 4: Simplify right side
    9,464.50x = 124,155,310.04
  5. Step 5: Solve for x
    x = 124,155,310.04/9,464.50
  6. Step 6: Final answer
    x = 13,118.00

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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.