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Finding the Fourth Proportional to 10,202, 14,078.76 and 6,012.80

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Solution

The fourth proportional to 10,202, 14,078.76 and 6,012.80 is: 8,297.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202 : 14,078.76 = 6,012.80 : x
  2. Step 2: Convert to fraction form
    10,202/14,078.76 = 6,012.80/x
  3. Step 3: Cross multiply
    10,202x = 14,078.76 × 6,012.80
  4. Step 4: Simplify right side
    10,202x = 84,652,768.13
  5. Step 5: Solve for x
    x = 84,652,768.13/10,202
  6. Step 6: Final answer
    x = 8,297.66

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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.