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Finding the Fourth Proportional to 14,497.40, 20,005.74 and 8,209.40

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Solution

The fourth proportional to 14,497.40, 20,005.74 and 8,209.40 is: 11,328.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.40 : 20,005.74 = 8,209.40 : x
  2. Step 2: Convert to fraction form
    14,497.40/20,005.74 = 8,209.40/x
  3. Step 3: Cross multiply
    14,497.40x = 20,005.74 × 8,209.40
  4. Step 4: Simplify right side
    14,497.40x = 164,235,121.96
  5. Step 5: Solve for x
    x = 164,235,121.96/14,497.40
  6. Step 6: Final answer
    x = 11,328.59

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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.