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Finding the Fourth Proportional to 1,386.63, 1,912.94 and 826.82

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Solution

The fourth proportional to 1,386.63, 1,912.94 and 826.82 is: 1,140.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.63 : 1,912.94 = 826.82 : x
  2. Step 2: Convert to fraction form
    1,386.63/1,912.94 = 826.82/x
  3. Step 3: Cross multiply
    1,386.63x = 1,912.94 × 826.82
  4. Step 4: Simplify right side
    1,386.63x = 1,581,657.05
  5. Step 5: Solve for x
    x = 1,581,657.05/1,386.63
  6. Step 6: Final answer
    x = 1,140.65

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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.