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Finding the Fourth Proportional to 8,501.12, 12,770.88 and 5,040.64

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Solution

The fourth proportional to 8,501.12, 12,770.88 and 5,040.64 is: 7,572.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,501.12 : 12,770.88 = 5,040.64 : x
  2. Step 2: Convert to fraction form
    8,501.12/12,770.88 = 5,040.64/x
  3. Step 3: Cross multiply
    8,501.12x = 12,770.88 × 5,040.64
  4. Step 4: Simplify right side
    8,501.12x = 64,373,408.56
  5. Step 5: Solve for x
    x = 64,373,408.56/8,501.12
  6. Step 6: Final answer
    x = 7,572.34

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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.