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Finding the Fourth Proportional to 11,643.84, 16,063.79 and 7,104.20

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Solution

The fourth proportional to 11,643.84, 16,063.79 and 7,104.20 is: 9,800.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.84 : 16,063.79 = 7,104.20 : x
  2. Step 2: Convert to fraction form
    11,643.84/16,063.79 = 7,104.20/x
  3. Step 3: Cross multiply
    11,643.84x = 16,063.79 × 7,104.20
  4. Step 4: Simplify right side
    11,643.84x = 114,120,261.08
  5. Step 5: Solve for x
    x = 114,120,261.08/11,643.84
  6. Step 6: Final answer
    x = 9,800.91

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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.