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Finding the Fourth Proportional to 8,429.76, 11,633.84 and 4,653.60

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Solution

The fourth proportional to 8,429.76, 11,633.84 and 4,653.60 is: 6,422.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.76 : 11,633.84 = 4,653.60 : x
  2. Step 2: Convert to fraction form
    8,429.76/11,633.84 = 4,653.60/x
  3. Step 3: Cross multiply
    8,429.76x = 11,633.84 × 4,653.60
  4. Step 4: Simplify right side
    8,429.76x = 54,139,237.82
  5. Step 5: Solve for x
    x = 54,139,237.82/8,429.76
  6. Step 6: Final answer
    x = 6,422.39

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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.