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Finding the Fourth Proportional to 6,471.88, 9,698.87 and 2,953.31

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Solution

The fourth proportional to 6,471.88, 9,698.87 and 2,953.31 is: 4,425.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.88 : 9,698.87 = 2,953.31 : x
  2. Step 2: Convert to fraction form
    6,471.88/9,698.87 = 2,953.31/x
  3. Step 3: Cross multiply
    6,471.88x = 9,698.87 × 2,953.31
  4. Step 4: Simplify right side
    6,471.88x = 28,643,728.65
  5. Step 5: Solve for x
    x = 28,643,728.65/6,471.88
  6. Step 6: Final answer
    x = 4,425.88

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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.