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Finding the Fourth Proportional to 11,371.92, 15,692.04 and 6,656.40

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Solution

The fourth proportional to 11,371.92, 15,692.04 and 6,656.40 is: 9,185.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,371.92 : 15,692.04 = 6,656.40 : x
  2. Step 2: Convert to fraction form
    11,371.92/15,692.04 = 6,656.40/x
  3. Step 3: Cross multiply
    11,371.92x = 15,692.04 × 6,656.40
  4. Step 4: Simplify right side
    11,371.92x = 104,452,495.06
  5. Step 5: Solve for x
    x = 104,452,495.06/11,371.92
  6. Step 6: Final answer
    x = 9,185.12

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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.