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Finding the Fourth Proportional to 21,224.84, 31,835.42 and 7,184.57

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Solution

The fourth proportional to 21,224.84, 31,835.42 and 7,184.57 is: 10,776.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224.84 : 31,835.42 = 7,184.57 : x
  2. Step 2: Convert to fraction form
    21,224.84/31,835.42 = 7,184.57/x
  3. Step 3: Cross multiply
    21,224.84x = 31,835.42 × 7,184.57
  4. Step 4: Simplify right side
    21,224.84x = 228,723,608.37
  5. Step 5: Solve for x
    x = 228,723,608.37/21,224.84
  6. Step 6: Final answer
    x = 10,776.22

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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.