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Finding the Fourth Proportional to 11,903.76, 16,443 and 9,920.88

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Solution

The fourth proportional to 11,903.76, 16,443 and 9,920.88 is: 13,703.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,903.76 : 16,443 = 9,920.88 : x
  2. Step 2: Convert to fraction form
    11,903.76/16,443 = 9,920.88/x
  3. Step 3: Cross multiply
    11,903.76x = 16,443 × 9,920.88
  4. Step 4: Simplify right side
    11,903.76x = 163,129,029.84
  5. Step 5: Solve for x
    x = 163,129,029.84/11,903.76
  6. Step 6: Final answer
    x = 13,703.99

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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.