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Finding the Fourth Proportional to 13,750.70, 18,974.82 and 8,085.70

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Solution

The fourth proportional to 13,750.70, 18,974.82 and 8,085.70 is: 11,157.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,750.70 : 18,974.82 = 8,085.70 : x
  2. Step 2: Convert to fraction form
    13,750.70/18,974.82 = 8,085.70/x
  3. Step 3: Cross multiply
    13,750.70x = 18,974.82 × 8,085.70
  4. Step 4: Simplify right side
    13,750.70x = 153,424,649.38
  5. Step 5: Solve for x
    x = 153,424,649.38/13,750.70
  6. Step 6: Final answer
    x = 11,157.59

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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.