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Finding the Fourth Proportional to 6,415.97, 9,624.83 and 3,126.78

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Solution

The fourth proportional to 6,415.97, 9,624.83 and 3,126.78 is: 4,690.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.97 : 9,624.83 = 3,126.78 : x
  2. Step 2: Convert to fraction form
    6,415.97/9,624.83 = 3,126.78/x
  3. Step 3: Cross multiply
    6,415.97x = 9,624.83 × 3,126.78
  4. Step 4: Simplify right side
    6,415.97x = 30,094,710.31
  5. Step 5: Solve for x
    x = 30,094,710.31/6,415.97
  6. Step 6: Final answer
    x = 4,690.60

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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.