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Finding the Fourth Proportional to 11,415.43, 15,692.81 and 9,816.22

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Solution

The fourth proportional to 11,415.43, 15,692.81 and 9,816.22 is: 13,494.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.43 : 15,692.81 = 9,816.22 : x
  2. Step 2: Convert to fraction form
    11,415.43/15,692.81 = 9,816.22/x
  3. Step 3: Cross multiply
    11,415.43x = 15,692.81 × 9,816.22
  4. Step 4: Simplify right side
    11,415.43x = 154,044,045.91
  5. Step 5: Solve for x
    x = 154,044,045.91/11,415.43
  6. Step 6: Final answer
    x = 13,494.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.