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Finding the Fourth Proportional to 5,716.58, 7,890.21 and 4,771.31

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Solution

The fourth proportional to 5,716.58, 7,890.21 and 4,771.31 is: 6,585.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.58 : 7,890.21 = 4,771.31 : x
  2. Step 2: Convert to fraction form
    5,716.58/7,890.21 = 4,771.31/x
  3. Step 3: Cross multiply
    5,716.58x = 7,890.21 × 4,771.31
  4. Step 4: Simplify right side
    5,716.58x = 37,646,598.42
  5. Step 5: Solve for x
    x = 37,646,598.42/5,716.58
  6. Step 6: Final answer
    x = 6,585.52

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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.