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Finding the Fourth Proportional to 13,678.56, 20,521.56 and 5,885.64

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Solution

The fourth proportional to 13,678.56, 20,521.56 and 5,885.64 is: 8,830.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.56 : 20,521.56 = 5,885.64 : x
  2. Step 2: Convert to fraction form
    13,678.56/20,521.56 = 5,885.64/x
  3. Step 3: Cross multiply
    13,678.56x = 20,521.56 × 5,885.64
  4. Step 4: Simplify right side
    13,678.56x = 120,782,514.40
  5. Step 5: Solve for x
    x = 120,782,514.40/13,678.56
  6. Step 6: Final answer
    x = 8,830.06

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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.