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Finding the Fourth Proportional to 9,256.98, 12,761.35 and 6,599.78

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Solution

The fourth proportional to 9,256.98, 12,761.35 and 6,599.78 is: 9,098.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.98 : 12,761.35 = 6,599.78 : x
  2. Step 2: Convert to fraction form
    9,256.98/12,761.35 = 6,599.78/x
  3. Step 3: Cross multiply
    9,256.98x = 12,761.35 × 6,599.78
  4. Step 4: Simplify right side
    9,256.98x = 84,222,022.20
  5. Step 5: Solve for x
    x = 84,222,022.20/9,256.98
  6. Step 6: Final answer
    x = 9,098.22

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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.