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Finding the Fourth Proportional to 11,507.76, 15,870.15 and 8,531.01

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Solution

The fourth proportional to 11,507.76, 15,870.15 and 8,531.01 is: 11,764.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.76 : 15,870.15 = 8,531.01 : x
  2. Step 2: Convert to fraction form
    11,507.76/15,870.15 = 8,531.01/x
  3. Step 3: Cross multiply
    11,507.76x = 15,870.15 × 8,531.01
  4. Step 4: Simplify right side
    11,507.76x = 135,388,408.35
  5. Step 5: Solve for x
    x = 135,388,408.35/11,507.76
  6. Step 6: Final answer
    x = 11,764.97

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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.