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Finding the Fourth Proportional to 10,001.70, 13,770 and 8,230.14

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Solution

The fourth proportional to 10,001.70, 13,770 and 8,230.14 is: 11,330.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,001.70 : 13,770 = 8,230.14 : x
  2. Step 2: Convert to fraction form
    10,001.70/13,770 = 8,230.14/x
  3. Step 3: Cross multiply
    10,001.70x = 13,770 × 8,230.14
  4. Step 4: Simplify right side
    10,001.70x = 113,329,027.80
  5. Step 5: Solve for x
    x = 113,329,027.80/10,001.70
  6. Step 6: Final answer
    x = 11,330.98

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1.5x scale

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.