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Finding the Fourth Proportional to 22,312.80, 33,415.56 and 11,205

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Solution

The fourth proportional to 22,312.80, 33,415.56 and 11,205 is: 16,780.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,312.80 : 33,415.56 = 11,205 : x
  2. Step 2: Convert to fraction form
    22,312.80/33,415.56 = 11,205/x
  3. Step 3: Cross multiply
    22,312.80x = 33,415.56 × 11,205
  4. Step 4: Simplify right side
    22,312.80x = 374,421,349.80
  5. Step 5: Solve for x
    x = 374,421,349.80/22,312.80
  6. Step 6: Final answer
    x = 16,780.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.