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Finding the Fourth Proportional to 11,579.58, 15,979.55 and 6,543

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Solution

The fourth proportional to 11,579.58, 15,979.55 and 6,543 is: 9,029.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,579.58 : 15,979.55 = 6,543 : x
  2. Step 2: Convert to fraction form
    11,579.58/15,979.55 = 6,543/x
  3. Step 3: Cross multiply
    11,579.58x = 15,979.55 × 6,543
  4. Step 4: Simplify right side
    11,579.58x = 104,554,162.94
  5. Step 5: Solve for x
    x = 104,554,162.94/11,579.58
  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.