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Finding the Fourth Proportional to 6,448.32, 9,655.68 and 3,520.62

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Solution

The fourth proportional to 6,448.32, 9,655.68 and 3,520.62 is: 5,271.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.32 : 9,655.68 = 3,520.62 : x
  2. Step 2: Convert to fraction form
    6,448.32/9,655.68 = 3,520.62/x
  3. Step 3: Cross multiply
    6,448.32x = 9,655.68 × 3,520.62
  4. Step 4: Simplify right side
    6,448.32x = 33,993,980.12
  5. Step 5: Solve for x
    x = 33,993,980.12/6,448.32
  6. Step 6: Final answer
    x = 5,271.76

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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.