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Finding the Fourth Proportional to 11,865.50, 16,374.42 and 6,488.28

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Solution

The fourth proportional to 11,865.50, 16,374.42 and 6,488.28 is: 8,953.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,865.50 : 16,374.42 = 6,488.28 : x
  2. Step 2: Convert to fraction form
    11,865.50/16,374.42 = 6,488.28/x
  3. Step 3: Cross multiply
    11,865.50x = 16,374.42 × 6,488.28
  4. Step 4: Simplify right side
    11,865.50x = 106,241,858.87
  5. Step 5: Solve for x
    x = 106,241,858.87/11,865.50
  6. Step 6: Final answer
    x = 8,953.85

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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.