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Finding the Fourth Proportional to 11,578.20, 15,978.54 and 6,542.63

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Solution

The fourth proportional to 11,578.20, 15,978.54 and 6,542.63 is: 9,029.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.20 : 15,978.54 = 6,542.63 : x
  2. Step 2: Convert to fraction form
    11,578.20/15,978.54 = 6,542.63/x
  3. Step 3: Cross multiply
    11,578.20x = 15,978.54 × 6,542.63
  4. Step 4: Simplify right side
    11,578.20x = 104,541,675.16
  5. Step 5: Solve for x
    x = 104,541,675.16/11,578.20
  6. Step 6: Final answer
    x = 9,029.18

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1.5x scale

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.