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Finding the Fourth Proportional to 1,875.14, 2,813.12 and 576.71

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Solution

The fourth proportional to 1,875.14, 2,813.12 and 576.71 is: 865.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.14 : 2,813.12 = 576.71 : x
  2. Step 2: Convert to fraction form
    1,875.14/2,813.12 = 576.71/x
  3. Step 3: Cross multiply
    1,875.14x = 2,813.12 × 576.71
  4. Step 4: Simplify right side
    1,875.14x = 1,622,354.44
  5. Step 5: Solve for x
    x = 1,622,354.44/1,875.14
  6. Step 6: Final answer
    x = 865.19

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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.