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Finding the Fourth Proportional to 9,191.90, 13,781.46 and 5,033.87

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Solution

The fourth proportional to 9,191.90, 13,781.46 and 5,033.87 is: 7,547.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.90 : 13,781.46 = 5,033.87 : x
  2. Step 2: Convert to fraction form
    9,191.90/13,781.46 = 5,033.87/x
  3. Step 3: Cross multiply
    9,191.90x = 13,781.46 × 5,033.87
  4. Step 4: Simplify right side
    9,191.90x = 69,374,009.14
  5. Step 5: Solve for x
    x = 69,374,009.14/9,191.90
  6. Step 6: Final answer
    x = 7,547.30

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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.