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Finding the Fourth Proportional to 8,583.80, 11,871.72 and 7,699.28

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Solution

The fourth proportional to 8,583.80, 11,871.72 and 7,699.28 is: 10,648.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.80 : 11,871.72 = 7,699.28 : x
  2. Step 2: Convert to fraction form
    8,583.80/11,871.72 = 7,699.28/x
  3. Step 3: Cross multiply
    8,583.80x = 11,871.72 × 7,699.28
  4. Step 4: Simplify right side
    8,583.80x = 91,403,696.36
  5. Step 5: Solve for x
    x = 91,403,696.36/8,583.80
  6. Step 6: Final answer
    x = 10,648.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.