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Finding the Fourth Proportional to 5,277.86, 7,278.63 and 4,531.58

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Solution

The fourth proportional to 5,277.86, 7,278.63 and 4,531.58 is: 6,249.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.86 : 7,278.63 = 4,531.58 : x
  2. Step 2: Convert to fraction form
    5,277.86/7,278.63 = 4,531.58/x
  3. Step 3: Cross multiply
    5,277.86x = 7,278.63 × 4,531.58
  4. Step 4: Simplify right side
    5,277.86x = 32,983,694.14
  5. Step 5: Solve for x
    x = 32,983,694.14/5,277.86
  6. Step 6: Final answer
    x = 6,249.44

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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.