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Finding the Fourth Proportional to 9,192.32, 13,769.36 and 7,628.64

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Solution

The fourth proportional to 9,192.32, 13,769.36 and 7,628.64 is: 11,427.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.32 : 13,769.36 = 7,628.64 : x
  2. Step 2: Convert to fraction form
    9,192.32/13,769.36 = 7,628.64/x
  3. Step 3: Cross multiply
    9,192.32x = 13,769.36 × 7,628.64
  4. Step 4: Simplify right side
    9,192.32x = 105,041,490.47
  5. Step 5: Solve for x
    x = 105,041,490.47/9,192.32
  6. Step 6: Final answer
    x = 11,427.09

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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.