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Finding the Fourth Proportional to 11,878.56, 17,829.36 and 5,726.88

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Solution

The fourth proportional to 11,878.56, 17,829.36 and 5,726.88 is: 8,595.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.56 : 17,829.36 = 5,726.88 : x
  2. Step 2: Convert to fraction form
    11,878.56/17,829.36 = 5,726.88/x
  3. Step 3: Cross multiply
    11,878.56x = 17,829.36 × 5,726.88
  4. Step 4: Simplify right side
    11,878.56x = 102,106,605.20
  5. Step 5: Solve for x
    x = 102,106,605.20/11,878.56
  6. Step 6: Final answer
    x = 8,595.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.