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Finding the Fourth Proportional to 1,523.10, 2,101.86 and 859.93

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Solution

The fourth proportional to 1,523.10, 2,101.86 and 859.93 is: 1,186.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.10 : 2,101.86 = 859.93 : x
  2. Step 2: Convert to fraction form
    1,523.10/2,101.86 = 859.93/x
  3. Step 3: Cross multiply
    1,523.10x = 2,101.86 × 859.93
  4. Step 4: Simplify right side
    1,523.10x = 1,807,449.36
  5. Step 5: Solve for x
    x = 1,807,449.36/1,523.10
  6. Step 6: Final answer
    x = 1,186.69

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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.