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Finding the Fourth Proportional to 7,809.61, 10,777.53 and 4,272.82

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Solution

The fourth proportional to 7,809.61, 10,777.53 and 4,272.82 is: 5,896.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.61 : 10,777.53 = 4,272.82 : x
  2. Step 2: Convert to fraction form
    7,809.61/10,777.53 = 4,272.82/x
  3. Step 3: Cross multiply
    7,809.61x = 10,777.53 × 4,272.82
  4. Step 4: Simplify right side
    7,809.61x = 46,050,370.48
  5. Step 5: Solve for x
    x = 46,050,370.48/7,809.61
  6. Step 6: Final answer
    x = 5,896.63

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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.