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Finding the Fourth Proportional to 8,563.50, 12,845.25 and 2,407.50

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Solution

The fourth proportional to 8,563.50, 12,845.25 and 2,407.50 is: 3,611.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.50 : 12,845.25 = 2,407.50 : x
  2. Step 2: Convert to fraction form
    8,563.50/12,845.25 = 2,407.50/x
  3. Step 3: Cross multiply
    8,563.50x = 12,845.25 × 2,407.50
  4. Step 4: Simplify right side
    8,563.50x = 30,924,939.38
  5. Step 5: Solve for x
    x = 30,924,939.38/8,563.50
  6. Step 6: Final answer
    x = 3,611.25

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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.