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Finding the Fourth Proportional to 7,838.24, 10,807.44 and 7,177.28

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Solution

The fourth proportional to 7,838.24, 10,807.44 and 7,177.28 is: 9,896.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.24 : 10,807.44 = 7,177.28 : x
  2. Step 2: Convert to fraction form
    7,838.24/10,807.44 = 7,177.28/x
  3. Step 3: Cross multiply
    7,838.24x = 10,807.44 × 7,177.28
  4. Step 4: Simplify right side
    7,838.24x = 77,568,022.96
  5. Step 5: Solve for x
    x = 77,568,022.96/7,838.24
  6. Step 6: Final answer
    x = 9,896.10

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1.5x scale

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.