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Finding the Fourth Proportional to 8,961.17, 13,461.19 and 7,577.28

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Solution

The fourth proportional to 8,961.17, 13,461.19 and 7,577.28 is: 11,382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,961.17 : 13,461.19 = 7,577.28 : x
  2. Step 2: Convert to fraction form
    8,961.17/13,461.19 = 7,577.28/x
  3. Step 3: Cross multiply
    8,961.17x = 13,461.19 × 7,577.28
  4. Step 4: Simplify right side
    8,961.17x = 101,999,186.82
  5. Step 5: Solve for x
    x = 101,999,186.82/8,961.17
  6. Step 6: Final answer
    x = 11,382.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.