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Finding the Fourth Proportional to 20,509.89, 30,762.04 and 8,038.64

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Solution

The fourth proportional to 20,509.89, 30,762.04 and 8,038.64 is: 12,056.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.89 : 30,762.04 = 8,038.64 : x
  2. Step 2: Convert to fraction form
    20,509.89/30,762.04 = 8,038.64/x
  3. Step 3: Cross multiply
    20,509.89x = 30,762.04 × 8,038.64
  4. Step 4: Simplify right side
    20,509.89x = 247,284,965.23
  5. Step 5: Solve for x
    x = 247,284,965.23/20,509.89
  6. Step 6: Final answer
    x = 12,056.86

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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.