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Finding the Fourth Proportional to 2,068.68, 3,102.93 and 835.77

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Solution

The fourth proportional to 2,068.68, 3,102.93 and 835.77 is: 1,253.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.68 : 3,102.93 = 835.77 : x
  2. Step 2: Convert to fraction form
    2,068.68/3,102.93 = 835.77/x
  3. Step 3: Cross multiply
    2,068.68x = 3,102.93 × 835.77
  4. Step 4: Simplify right side
    2,068.68x = 2,593,335.81
  5. Step 5: Solve for x
    x = 2,593,335.81/2,068.68
  6. Step 6: Final answer
    x = 1,253.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.