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Finding the Fourth Proportional to 11,868, 16,377.84 and 7,153.26

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Solution

The fourth proportional to 11,868, 16,377.84 and 7,153.26 is: 9,871.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,868 : 16,377.84 = 7,153.26 : x
  2. Step 2: Convert to fraction form
    11,868/16,377.84 = 7,153.26/x
  3. Step 3: Cross multiply
    11,868x = 16,377.84 × 7,153.26
  4. Step 4: Simplify right side
    11,868x = 117,154,947.76
  5. Step 5: Solve for x
    x = 117,154,947.76/11,868
  6. Step 6: Final answer
    x = 9,871.50

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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.