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Finding the Fourth Proportional to 10,381.70, 15,570.21 and 2,984.51

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Solution

The fourth proportional to 10,381.70, 15,570.21 and 2,984.51 is: 4,476.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.70 : 15,570.21 = 2,984.51 : x
  2. Step 2: Convert to fraction form
    10,381.70/15,570.21 = 2,984.51/x
  3. Step 3: Cross multiply
    10,381.70x = 15,570.21 × 2,984.51
  4. Step 4: Simplify right side
    10,381.70x = 46,469,447.45
  5. Step 5: Solve for x
    x = 46,469,447.45/10,381.70
  6. Step 6: Final answer
    x = 4,476.09

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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.