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Finding the Fourth Proportional to 8,235.64, 11,357.58 and 7,639.48

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Solution

The fourth proportional to 8,235.64, 11,357.58 and 7,639.48 is: 10,535.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.64 : 11,357.58 = 7,639.48 : x
  2. Step 2: Convert to fraction form
    8,235.64/11,357.58 = 7,639.48/x
  3. Step 3: Cross multiply
    8,235.64x = 11,357.58 × 7,639.48
  4. Step 4: Simplify right side
    8,235.64x = 86,766,005.26
  5. Step 5: Solve for x
    x = 86,766,005.26/8,235.64
  6. Step 6: Final answer
    x = 10,535.43

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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.