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Finding the Fourth Proportional to 7,712.84, 11,569.28 and 1,869.44

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Solution

The fourth proportional to 7,712.84, 11,569.28 and 1,869.44 is: 2,804.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.84 : 11,569.28 = 1,869.44 : x
  2. Step 2: Convert to fraction form
    7,712.84/11,569.28 = 1,869.44/x
  3. Step 3: Cross multiply
    7,712.84x = 11,569.28 × 1,869.44
  4. Step 4: Simplify right side
    7,712.84x = 21,628,074.80
  5. Step 5: Solve for x
    x = 21,628,074.80/7,712.84
  6. Step 6: Final answer
    x = 2,804.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.