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Finding the Fourth Proportional to 5,675.71, 7,827.49 and 3,973.34

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Solution

The fourth proportional to 5,675.71, 7,827.49 and 3,973.34 is: 5,479.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.71 : 7,827.49 = 3,973.34 : x
  2. Step 2: Convert to fraction form
    5,675.71/7,827.49 = 3,973.34/x
  3. Step 3: Cross multiply
    5,675.71x = 7,827.49 × 3,973.34
  4. Step 4: Simplify right side
    5,675.71x = 31,101,279.12
  5. Step 5: Solve for x
    x = 31,101,279.12/5,675.71
  6. Step 6: Final answer
    x = 5,479.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.