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Finding the Fourth Proportional to 13,668.23, 20,502.34 and 7,820.70

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Solution

The fourth proportional to 13,668.23, 20,502.34 and 7,820.70 is: 11,731.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,668.23 : 20,502.34 = 7,820.70 : x
  2. Step 2: Convert to fraction form
    13,668.23/20,502.34 = 7,820.70/x
  3. Step 3: Cross multiply
    13,668.23x = 20,502.34 × 7,820.70
  4. Step 4: Simplify right side
    13,668.23x = 160,342,630.89
  5. Step 5: Solve for x
    x = 160,342,630.89/13,668.23
  6. Step 6: Final answer
    x = 11,731.05

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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.