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Finding the Fourth Proportional to 6,448.43, 9,681.62 and 3,330.74

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Solution

The fourth proportional to 6,448.43, 9,681.62 and 3,330.74 is: 5,000.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.43 : 9,681.62 = 3,330.74 : x
  2. Step 2: Convert to fraction form
    6,448.43/9,681.62 = 3,330.74/x
  3. Step 3: Cross multiply
    6,448.43x = 9,681.62 × 3,330.74
  4. Step 4: Simplify right side
    6,448.43x = 32,246,966.55
  5. Step 5: Solve for x
    x = 32,246,966.55/6,448.43
  6. Step 6: Final answer
    x = 5,000.74

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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.