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Finding the Fourth Proportional to 10,156, 14,017.20 and 5,740

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Solution

The fourth proportional to 10,156, 14,017.20 and 5,740 is: 7,922.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,156 : 14,017.20 = 5,740 : x
  2. Step 2: Convert to fraction form
    10,156/14,017.20 = 5,740/x
  3. Step 3: Cross multiply
    10,156x = 14,017.20 × 5,740
  4. Step 4: Simplify right side
    10,156x = 80,458,728
  5. Step 5: Solve for x
    x = 80,458,728/10,156
  6. Step 6: Final answer
    x = 7,922.29

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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.