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Finding the Fourth Proportional to 1,424.71, 2,134.86 and 960.67

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Solution

The fourth proportional to 1,424.71, 2,134.86 and 960.67 is: 1,439.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.71 : 2,134.86 = 960.67 : x
  2. Step 2: Convert to fraction form
    1,424.71/2,134.86 = 960.67/x
  3. Step 3: Cross multiply
    1,424.71x = 2,134.86 × 960.67
  4. Step 4: Simplify right side
    1,424.71x = 2,050,895.96
  5. Step 5: Solve for x
    x = 2,050,895.96/1,424.71
  6. Step 6: Final answer
    x = 1,439.52

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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.