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Finding the Fourth Proportional to 11,811.78, 16,300.02 and 6,506.46

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Solution

The fourth proportional to 11,811.78, 16,300.02 and 6,506.46 is: 8,978.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.78 : 16,300.02 = 6,506.46 : x
  2. Step 2: Convert to fraction form
    11,811.78/16,300.02 = 6,506.46/x
  3. Step 3: Cross multiply
    11,811.78x = 16,300.02 × 6,506.46
  4. Step 4: Simplify right side
    11,811.78x = 106,055,428.13
  5. Step 5: Solve for x
    x = 106,055,428.13/11,811.78
  6. Step 6: Final answer
    x = 8,978.78

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1.5x scale

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.