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Finding the Fourth Proportional to 5,051.25, 6,970.86 and 2,813.22

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Solution

The fourth proportional to 5,051.25, 6,970.86 and 2,813.22 is: 3,882.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051.25 : 6,970.86 = 2,813.22 : x
  2. Step 2: Convert to fraction form
    5,051.25/6,970.86 = 2,813.22/x
  3. Step 3: Cross multiply
    5,051.25x = 6,970.86 × 2,813.22
  4. Step 4: Simplify right side
    5,051.25x = 19,610,562.77
  5. Step 5: Solve for x
    x = 19,610,562.77/5,051.25
  6. Step 6: Final answer
    x = 3,882.32

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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.