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Finding the Fourth Proportional to 9,179, 13,767.06 and 7,628.96

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Solution

The fourth proportional to 9,179, 13,767.06 and 7,628.96 is: 11,442.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,179 : 13,767.06 = 7,628.96 : x
  2. Step 2: Convert to fraction form
    9,179/13,767.06 = 7,628.96/x
  3. Step 3: Cross multiply
    9,179x = 13,767.06 × 7,628.96
  4. Step 4: Simplify right side
    9,179x = 105,028,350.06
  5. Step 5: Solve for x
    x = 105,028,350.06/9,179
  6. Step 6: Final answer
    x = 11,442.24

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1.5x scale

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.