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Finding the Fourth Proportional to 5,726.02, 7,882.86 and 5,135.54

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Solution

The fourth proportional to 5,726.02, 7,882.86 and 5,135.54 is: 7,069.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.02 : 7,882.86 = 5,135.54 : x
  2. Step 2: Convert to fraction form
    5,726.02/7,882.86 = 5,135.54/x
  3. Step 3: Cross multiply
    5,726.02x = 7,882.86 × 5,135.54
  4. Step 4: Simplify right side
    5,726.02x = 40,482,742.84
  5. Step 5: Solve for x
    x = 40,482,742.84/5,726.02
  6. Step 6: Final answer
    x = 7,069.96

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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.