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Finding the Fourth Proportional to 1,523.19, 2,101.41 and 859.89

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Solution

The fourth proportional to 1,523.19, 2,101.41 and 859.89 is: 1,186.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.19 : 2,101.41 = 859.89 : x
  2. Step 2: Convert to fraction form
    1,523.19/2,101.41 = 859.89/x
  3. Step 3: Cross multiply
    1,523.19x = 2,101.41 × 859.89
  4. Step 4: Simplify right side
    1,523.19x = 1,806,981.44
  5. Step 5: Solve for x
    x = 1,806,981.44/1,523.19
  6. Step 6: Final answer
    x = 1,186.31

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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.