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Finding the Fourth Proportional to 11,578.77, 15,978.63 and 6,544.62

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Solution

The fourth proportional to 11,578.77, 15,978.63 and 6,544.62 is: 9,031.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.77 : 15,978.63 = 6,544.62 : x
  2. Step 2: Convert to fraction form
    11,578.77/15,978.63 = 6,544.62/x
  3. Step 3: Cross multiply
    11,578.77x = 15,978.63 × 6,544.62
  4. Step 4: Simplify right side
    11,578.77x = 104,573,981.58
  5. Step 5: Solve for x
    x = 104,573,981.58/11,578.77
  6. Step 6: Final answer
    x = 9,031.53

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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.