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Finding the Fourth Proportional to 11,877.94, 16,391.37 and 6,500.51

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Solution

The fourth proportional to 11,877.94, 16,391.37 and 6,500.51 is: 8,970.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877.94 : 16,391.37 = 6,500.51 : x
  2. Step 2: Convert to fraction form
    11,877.94/16,391.37 = 6,500.51/x
  3. Step 3: Cross multiply
    11,877.94x = 16,391.37 × 6,500.51
  4. Step 4: Simplify right side
    11,877.94x = 106,552,264.60
  5. Step 5: Solve for x
    x = 106,552,264.60/11,877.94
  6. Step 6: Final answer
    x = 8,970.60

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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.