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Finding the Fourth Proportional to 11,616.77, 16,032.43 and 6,512.78

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Solution

The fourth proportional to 11,616.77, 16,032.43 and 6,512.78 is: 8,988.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.77 : 16,032.43 = 6,512.78 : x
  2. Step 2: Convert to fraction form
    11,616.77/16,032.43 = 6,512.78/x
  3. Step 3: Cross multiply
    11,616.77x = 16,032.43 × 6,512.78
  4. Step 4: Simplify right side
    11,616.77x = 104,415,647.50
  5. Step 5: Solve for x
    x = 104,415,647.50/11,616.77
  6. Step 6: Final answer
    x = 8,988.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.