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Finding the Fourth Proportional to 20,592.64, 30,871.68 and 8,289.28

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Solution

The fourth proportional to 20,592.64, 30,871.68 and 8,289.28 is: 12,426.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,592.64 : 30,871.68 = 8,289.28 : x
  2. Step 2: Convert to fraction form
    20,592.64/30,871.68 = 8,289.28/x
  3. Step 3: Cross multiply
    20,592.64x = 30,871.68 × 8,289.28
  4. Step 4: Simplify right side
    20,592.64x = 255,903,999.59
  5. Step 5: Solve for x
    x = 255,903,999.59/20,592.64
  6. Step 6: Final answer
    x = 12,426.96

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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.