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Finding the Fourth Proportional to 1,426.16, 1,967.76 and 1,163.76

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Solution

The fourth proportional to 1,426.16, 1,967.76 and 1,163.76 is: 1,605.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.16 : 1,967.76 = 1,163.76 : x
  2. Step 2: Convert to fraction form
    1,426.16/1,967.76 = 1,163.76/x
  3. Step 3: Cross multiply
    1,426.16x = 1,967.76 × 1,163.76
  4. Step 4: Simplify right side
    1,426.16x = 2,290,000.38
  5. Step 5: Solve for x
    x = 2,290,000.38/1,426.16
  6. Step 6: Final answer
    x = 1,605.71

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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.