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Finding the Fourth Proportional to 7,687.72, 10,606.76 and 4,700.42

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Solution

The fourth proportional to 7,687.72, 10,606.76 and 4,700.42 is: 6,485.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.72 : 10,606.76 = 4,700.42 : x
  2. Step 2: Convert to fraction form
    7,687.72/10,606.76 = 4,700.42/x
  3. Step 3: Cross multiply
    7,687.72x = 10,606.76 × 4,700.42
  4. Step 4: Simplify right side
    7,687.72x = 49,856,226.84
  5. Step 5: Solve for x
    x = 49,856,226.84/7,687.72
  6. Step 6: Final answer
    x = 6,485.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.