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Finding the Fourth Proportional to 13,765.74, 20,502.91 and 13,698.62

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Solution

The fourth proportional to 13,765.74, 20,502.91 and 13,698.62 is: 20,402.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.74 : 20,502.91 = 13,698.62 : x
  2. Step 2: Convert to fraction form
    13,765.74/20,502.91 = 13,698.62/x
  3. Step 3: Cross multiply
    13,765.74x = 20,502.91 × 13,698.62
  4. Step 4: Simplify right side
    13,765.74x = 280,861,470.47
  5. Step 5: Solve for x
    x = 280,861,470.47/13,765.74
  6. Step 6: Final answer
    x = 20,402.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.