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Finding the Fourth Proportional to 7,454.57, 10,276.43 and 5,209.45

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Solution

The fourth proportional to 7,454.57, 10,276.43 and 5,209.45 is: 7,181.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.57 : 10,276.43 = 5,209.45 : x
  2. Step 2: Convert to fraction form
    7,454.57/10,276.43 = 5,209.45/x
  3. Step 3: Cross multiply
    7,454.57x = 10,276.43 × 5,209.45
  4. Step 4: Simplify right side
    7,454.57x = 53,534,548.26
  5. Step 5: Solve for x
    x = 53,534,548.26/7,454.57
  6. Step 6: Final answer
    x = 7,181.44

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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.