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Finding the Fourth Proportional to 6,500.45, 9,750.95 and 5,412.49

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Solution

The fourth proportional to 6,500.45, 9,750.95 and 5,412.49 is: 8,118.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.45 : 9,750.95 = 5,412.49 : x
  2. Step 2: Convert to fraction form
    6,500.45/9,750.95 = 5,412.49/x
  3. Step 3: Cross multiply
    6,500.45x = 9,750.95 × 5,412.49
  4. Step 4: Simplify right side
    6,500.45x = 52,776,919.37
  5. Step 5: Solve for x
    x = 52,776,919.37/6,500.45
  6. Step 6: Final answer
    x = 8,118.96

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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.