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Finding the Fourth Proportional to 20,246.21, 27,978.38 and 14,599.50

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Solution

The fourth proportional to 20,246.21, 27,978.38 and 14,599.50 is: 20,175.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,246.21 : 27,978.38 = 14,599.50 : x
  2. Step 2: Convert to fraction form
    20,246.21/27,978.38 = 14,599.50/x
  3. Step 3: Cross multiply
    20,246.21x = 27,978.38 × 14,599.50
  4. Step 4: Simplify right side
    20,246.21x = 408,470,358.81
  5. Step 5: Solve for x
    x = 408,470,358.81/20,246.21
  6. Step 6: Final answer
    x = 20,175.15

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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.