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Finding the Fourth Proportional to 7,086.81, 10,632.12 and 6,312.14

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Solution

The fourth proportional to 7,086.81, 10,632.12 and 6,312.14 is: 9,469.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.81 : 10,632.12 = 6,312.14 : x
  2. Step 2: Convert to fraction form
    7,086.81/10,632.12 = 6,312.14/x
  3. Step 3: Cross multiply
    7,086.81x = 10,632.12 × 6,312.14
  4. Step 4: Simplify right side
    7,086.81x = 67,111,429.94
  5. Step 5: Solve for x
    x = 67,111,429.94/7,086.81
  6. Step 6: Final answer
    x = 9,469.91

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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.