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Finding the Fourth Proportional to 11,765.68, 17,648.40 and 3,000.50

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Solution

The fourth proportional to 11,765.68, 17,648.40 and 3,000.50 is: 4,500.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.68 : 17,648.40 = 3,000.50 : x
  2. Step 2: Convert to fraction form
    11,765.68/17,648.40 = 3,000.50/x
  3. Step 3: Cross multiply
    11,765.68x = 17,648.40 × 3,000.50
  4. Step 4: Simplify right side
    11,765.68x = 52,954,024.20
  5. Step 5: Solve for x
    x = 52,954,024.20/11,765.68
  6. Step 6: Final answer
    x = 4,500.72

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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.