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Finding the Fourth Proportional to 2,095.25, 3,143.09 and 556.25

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Solution

The fourth proportional to 2,095.25, 3,143.09 and 556.25 is: 834.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.25 : 3,143.09 = 556.25 : x
  2. Step 2: Convert to fraction form
    2,095.25/3,143.09 = 556.25/x
  3. Step 3: Cross multiply
    2,095.25x = 3,143.09 × 556.25
  4. Step 4: Simplify right side
    2,095.25x = 1,748,343.81
  5. Step 5: Solve for x
    x = 1,748,343.81/2,095.25
  6. Step 6: Final answer
    x = 834.43

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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.