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Finding the Fourth Proportional to 7,731, 10,658.81 and 6,313.19

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Solution

The fourth proportional to 7,731, 10,658.81 and 6,313.19 is: 8,704.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731 : 10,658.81 = 6,313.19 : x
  2. Step 2: Convert to fraction form
    7,731/10,658.81 = 6,313.19/x
  3. Step 3: Cross multiply
    7,731x = 10,658.81 × 6,313.19
  4. Step 4: Simplify right side
    7,731x = 67,291,055.19
  5. Step 5: Solve for x
    x = 67,291,055.19/7,731
  6. Step 6: Final answer
    x = 8,704.06

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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.