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Finding the Fourth Proportional to 11,519, 15,892.46 and 6,802.36

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Solution

The fourth proportional to 11,519, 15,892.46 and 6,802.36 is: 9,385.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,519 : 15,892.46 = 6,802.36 : x
  2. Step 2: Convert to fraction form
    11,519/15,892.46 = 6,802.36/x
  3. Step 3: Cross multiply
    11,519x = 15,892.46 × 6,802.36
  4. Step 4: Simplify right side
    11,519x = 108,106,234.21
  5. Step 5: Solve for x
    x = 108,106,234.21/11,519
  6. Step 6: Final answer
    x = 9,385.04

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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.