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Finding the Fourth Proportional to 1,526.43, 2,106.44 and 863.49

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Solution

The fourth proportional to 1,526.43, 2,106.44 and 863.49 is: 1,191.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.43 : 2,106.44 = 863.49 : x
  2. Step 2: Convert to fraction form
    1,526.43/2,106.44 = 863.49/x
  3. Step 3: Cross multiply
    1,526.43x = 2,106.44 × 863.49
  4. Step 4: Simplify right side
    1,526.43x = 1,818,885.56
  5. Step 5: Solve for x
    x = 1,818,885.56/1,526.43
  6. Step 6: Final answer
    x = 1,191.59

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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.