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Finding the Fourth Proportional to 7,580.72, 11,356.20 and 4,283.76

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Solution

The fourth proportional to 7,580.72, 11,356.20 and 4,283.76 is: 6,417.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.72 : 11,356.20 = 4,283.76 : x
  2. Step 2: Convert to fraction form
    7,580.72/11,356.20 = 4,283.76/x
  3. Step 3: Cross multiply
    7,580.72x = 11,356.20 × 4,283.76
  4. Step 4: Simplify right side
    7,580.72x = 48,647,235.31
  5. Step 5: Solve for x
    x = 48,647,235.31/7,580.72
  6. Step 6: Final answer
    x = 6,417.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.