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Finding the Fourth Proportional to 9,097.59, 12,558 and 5,742.60

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Solution

The fourth proportional to 9,097.59, 12,558 and 5,742.60 is: 7,926.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.59 : 12,558 = 5,742.60 : x
  2. Step 2: Convert to fraction form
    9,097.59/12,558 = 5,742.60/x
  3. Step 3: Cross multiply
    9,097.59x = 12,558 × 5,742.60
  4. Step 4: Simplify right side
    9,097.59x = 72,115,570.80
  5. Step 5: Solve for x
    x = 72,115,570.80/9,097.59
  6. Step 6: Final answer
    x = 7,926.89

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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.