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Finding the Fourth Proportional to 20,983.50, 31,479.57 and 8,671.50

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Solution

The fourth proportional to 20,983.50, 31,479.57 and 8,671.50 is: 13,009.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,983.50 : 31,479.57 = 8,671.50 : x
  2. Step 2: Convert to fraction form
    20,983.50/31,479.57 = 8,671.50/x
  3. Step 3: Cross multiply
    20,983.50x = 31,479.57 × 8,671.50
  4. Step 4: Simplify right side
    20,983.50x = 272,975,091.26
  5. Step 5: Solve for x
    x = 272,975,091.26/20,983.50
  6. Step 6: Final answer
    x = 13,009.04

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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.