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Finding the Fourth Proportional to 6,476.04, 9,709.56 and 4,278.08

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Solution

The fourth proportional to 6,476.04, 9,709.56 and 4,278.08 is: 6,414.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.04 : 9,709.56 = 4,278.08 : x
  2. Step 2: Convert to fraction form
    6,476.04/9,709.56 = 4,278.08/x
  3. Step 3: Cross multiply
    6,476.04x = 9,709.56 × 4,278.08
  4. Step 4: Simplify right side
    6,476.04x = 41,538,274.44
  5. Step 5: Solve for x
    x = 41,538,274.44/6,476.04
  6. Step 6: Final answer
    x = 6,414.15

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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.