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Finding the Fourth Proportional to 6,469.61, 9,720.81 and 4,130.73

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Solution

The fourth proportional to 6,469.61, 9,720.81 and 4,130.73 is: 6,206.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.61 : 9,720.81 = 4,130.73 : x
  2. Step 2: Convert to fraction form
    6,469.61/9,720.81 = 4,130.73/x
  3. Step 3: Cross multiply
    6,469.61x = 9,720.81 × 4,130.73
  4. Step 4: Simplify right side
    6,469.61x = 40,154,041.49
  5. Step 5: Solve for x
    x = 40,154,041.49/6,469.61
  6. Step 6: Final answer
    x = 6,206.57

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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.