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Finding the Fourth Proportional to 11,569.58, 15,965.39 and 6,788.88

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Solution

The fourth proportional to 11,569.58, 15,965.39 and 6,788.88 is: 9,368.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,569.58 : 15,965.39 = 6,788.88 : x
  2. Step 2: Convert to fraction form
    11,569.58/15,965.39 = 6,788.88/x
  3. Step 3: Cross multiply
    11,569.58x = 15,965.39 × 6,788.88
  4. Step 4: Simplify right side
    11,569.58x = 108,387,116.86
  5. Step 5: Solve for x
    x = 108,387,116.86/11,569.58
  6. Step 6: Final answer
    x = 9,368.28

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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.