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Finding the Fourth Proportional to 1,523.01, 2,101.60 and 859.96

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Solution

The fourth proportional to 1,523.01, 2,101.60 and 859.96 is: 1,186.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.01 : 2,101.60 = 859.96 : x
  2. Step 2: Convert to fraction form
    1,523.01/2,101.60 = 859.96/x
  3. Step 3: Cross multiply
    1,523.01x = 2,101.60 × 859.96
  4. Step 4: Simplify right side
    1,523.01x = 1,807,291.94
  5. Step 5: Solve for x
    x = 1,807,291.94/1,523.01
  6. Step 6: Final answer
    x = 1,186.66

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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.