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Finding the Fourth Proportional to 10,879, 15,013.06 and 5,911

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Solution

The fourth proportional to 10,879, 15,013.06 and 5,911 is: 8,157.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,879 : 15,013.06 = 5,911 : x
  2. Step 2: Convert to fraction form
    10,879/15,013.06 = 5,911/x
  3. Step 3: Cross multiply
    10,879x = 15,013.06 × 5,911
  4. Step 4: Simplify right side
    10,879x = 88,742,197.66
  5. Step 5: Solve for x
    x = 88,742,197.66/10,879
  6. Step 6: Final answer
    x = 8,157.20

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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.