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Finding the Fourth Proportional to 13,703.78, 20,524.19 and 8,705.78

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Solution

The fourth proportional to 13,703.78, 20,524.19 and 8,705.78 is: 13,038.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703.78 : 20,524.19 = 8,705.78 : x
  2. Step 2: Convert to fraction form
    13,703.78/20,524.19 = 8,705.78/x
  3. Step 3: Cross multiply
    13,703.78x = 20,524.19 × 8,705.78
  4. Step 4: Simplify right side
    13,703.78x = 178,679,082.82
  5. Step 5: Solve for x
    x = 178,679,082.82/13,703.78
  6. Step 6: Final answer
    x = 13,038.67

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1.5x scale

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.