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Finding the Fourth Proportional to 11,578.70, 15,978.30 and 6,543.45

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Solution

The fourth proportional to 11,578.70, 15,978.30 and 6,543.45 is: 9,029.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.70 : 15,978.30 = 6,543.45 : x
  2. Step 2: Convert to fraction form
    11,578.70/15,978.30 = 6,543.45/x
  3. Step 3: Cross multiply
    11,578.70x = 15,978.30 × 6,543.45
  4. Step 4: Simplify right side
    11,578.70x = 104,553,207.14
  5. Step 5: Solve for x
    x = 104,553,207.14/11,578.70
  6. Step 6: Final answer
    x = 9,029.79

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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.