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Finding the Fourth Proportional to 7,712.33, 11,569.70 and 2,783.17

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Solution

The fourth proportional to 7,712.33, 11,569.70 and 2,783.17 is: 4,175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.33 : 11,569.70 = 2,783.17 : x
  2. Step 2: Convert to fraction form
    7,712.33/11,569.70 = 2,783.17/x
  3. Step 3: Cross multiply
    7,712.33x = 11,569.70 × 2,783.17
  4. Step 4: Simplify right side
    7,712.33x = 32,200,463.37
  5. Step 5: Solve for x
    x = 32,200,463.37/7,712.33
  6. Step 6: Final answer
    x = 4,175.20

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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.