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Finding the Fourth Proportional to 12,115.16, 16,720.47 and 6,810

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Solution

The fourth proportional to 12,115.16, 16,720.47 and 6,810 is: 9,398.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,115.16 : 16,720.47 = 6,810 : x
  2. Step 2: Convert to fraction form
    12,115.16/16,720.47 = 6,810/x
  3. Step 3: Cross multiply
    12,115.16x = 16,720.47 × 6,810
  4. Step 4: Simplify right side
    12,115.16x = 113,866,400.70
  5. Step 5: Solve for x
    x = 113,866,400.70/12,115.16
  6. Step 6: Final answer
    x = 9,398.67

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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.