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Finding the Fourth Proportional to 11,623, 16,040.10 and 6,655

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Solution

The fourth proportional to 11,623, 16,040.10 and 6,655 is: 9,184.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,623 : 16,040.10 = 6,655 : x
  2. Step 2: Convert to fraction form
    11,623/16,040.10 = 6,655/x
  3. Step 3: Cross multiply
    11,623x = 16,040.10 × 6,655
  4. Step 4: Simplify right side
    11,623x = 106,746,865.50
  5. Step 5: Solve for x
    x = 106,746,865.50/11,623
  6. Step 6: Final answer
    x = 9,184.11

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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.