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Finding the Fourth Proportional to 13,511.24, 18,647.16 and 7,922.24

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Solution

The fourth proportional to 13,511.24, 18,647.16 and 7,922.24 is: 10,933.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,511.24 : 18,647.16 = 7,922.24 : x
  2. Step 2: Convert to fraction form
    13,511.24/18,647.16 = 7,922.24/x
  3. Step 3: Cross multiply
    13,511.24x = 18,647.16 × 7,922.24
  4. Step 4: Simplify right side
    13,511.24x = 147,727,276.84
  5. Step 5: Solve for x
    x = 147,727,276.84/13,511.24
  6. Step 6: Final answer
    x = 10,933.66

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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.