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Finding the Fourth Proportional to 9,290.88, 12,817.08 and 5,752.80

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Solution

The fourth proportional to 9,290.88, 12,817.08 and 5,752.80 is: 7,936.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.88 : 12,817.08 = 5,752.80 : x
  2. Step 2: Convert to fraction form
    9,290.88/12,817.08 = 5,752.80/x
  3. Step 3: Cross multiply
    9,290.88x = 12,817.08 × 5,752.80
  4. Step 4: Simplify right side
    9,290.88x = 73,734,097.82
  5. Step 5: Solve for x
    x = 73,734,097.82/9,290.88
  6. Step 6: Final answer
    x = 7,936.18

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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.