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Finding the Fourth Proportional to 11,623.50, 16,040.79 and 6,655.50

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Solution

The fourth proportional to 11,623.50, 16,040.79 and 6,655.50 is: 9,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,623.50 : 16,040.79 = 6,655.50 : x
  2. Step 2: Convert to fraction form
    11,623.50/16,040.79 = 6,655.50/x
  3. Step 3: Cross multiply
    11,623.50x = 16,040.79 × 6,655.50
  4. Step 4: Simplify right side
    11,623.50x = 106,759,477.85
  5. Step 5: Solve for x
    x = 106,759,477.85/11,623.50
  6. Step 6: Final answer
    x = 9,184.80

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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.