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Finding the Fourth Proportional to 5,469.64, 7,547.94 and 3,112.12

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Solution

The fourth proportional to 5,469.64, 7,547.94 and 3,112.12 is: 4,294.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.64 : 7,547.94 = 3,112.12 : x
  2. Step 2: Convert to fraction form
    5,469.64/7,547.94 = 3,112.12/x
  3. Step 3: Cross multiply
    5,469.64x = 7,547.94 × 3,112.12
  4. Step 4: Simplify right side
    5,469.64x = 23,490,095.03
  5. Step 5: Solve for x
    x = 23,490,095.03/5,469.64
  6. Step 6: Final answer
    x = 4,294.63

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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.